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Finding the Fourth Proportional to 9,835,843.80, 13,573,478.40 and 5,425,471.08

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Solution

The fourth proportional to 9,835,843.80, 13,573,478.40 and 5,425,471.08 is: 7,487,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835,843.80 : 13,573,478.40 = 5,425,471.08 : x
  2. Step 2: Convert to fraction form
    9,835,843.80/13,573,478.40 = 5,425,471.08/x
  3. Step 3: Cross multiply
    9,835,843.80x = 13,573,478.40 × 5,425,471.08
  4. Step 4: Simplify right side
    9,835,843.80x = 73,642,514,514,204.67
  5. Step 5: Solve for x
    x = 73,642,514,514,204.67/9,835,843.80
  6. Step 6: Final answer
    x = 7,487,157.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.