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Finding the Fourth Proportional to 7,163,709.14, 9,892,062.48 and 6,932,071.22

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Solution

The fourth proportional to 7,163,709.14, 9,892,062.48 and 6,932,071.22 is: 9,572,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163,709.14 : 9,892,062.48 = 6,932,071.22 : x
  2. Step 2: Convert to fraction form
    7,163,709.14/9,892,062.48 = 6,932,071.22/x
  3. Step 3: Cross multiply
    7,163,709.14x = 9,892,062.48 × 6,932,071.22
  4. Step 4: Simplify right side
    7,163,709.14x = 68,572,481,574,589.52
  5. Step 5: Solve for x
    x = 68,572,481,574,589.52/7,163,709.14
  6. Step 6: Final answer
    x = 9,572,203.49

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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.