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Finding the Fourth Proportional to 9,978,007.80, 14,971,418.10 and 4,857,598.20

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Solution

The fourth proportional to 9,978,007.80, 14,971,418.10 and 4,857,598.20 is: 7,288,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978,007.80 : 14,971,418.10 = 4,857,598.20 : x
  2. Step 2: Convert to fraction form
    9,978,007.80/14,971,418.10 = 4,857,598.20/x
  3. Step 3: Cross multiply
    9,978,007.80x = 14,971,418.10 × 4,857,598.20
  4. Step 4: Simplify right side
    9,978,007.80x = 72,725,133,614,007.42
  5. Step 5: Solve for x
    x = 72,725,133,614,007.42/9,978,007.80
  6. Step 6: Final answer
    x = 7,288,542.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.