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Finding the Fourth Proportional to 9,700.24, 14,552.28 and 3,125.92

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Solution

The fourth proportional to 9,700.24, 14,552.28 and 3,125.92 is: 4,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.24 : 14,552.28 = 3,125.92 : x
  2. Step 2: Convert to fraction form
    9,700.24/14,552.28 = 3,125.92/x
  3. Step 3: Cross multiply
    9,700.24x = 14,552.28 × 3,125.92
  4. Step 4: Simplify right side
    9,700.24x = 45,489,263.10
  5. Step 5: Solve for x
    x = 45,489,263.10/9,700.24
  6. Step 6: Final answer
    x = 4,689.50

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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.