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Finding the Fourth Proportional to 9,700.20, 13,384.17 and 5,508.45

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Solution

The fourth proportional to 9,700.20, 13,384.17 and 5,508.45 is: 7,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.20 : 13,384.17 = 5,508.45 : x
  2. Step 2: Convert to fraction form
    9,700.20/13,384.17 = 5,508.45/x
  3. Step 3: Cross multiply
    9,700.20x = 13,384.17 × 5,508.45
  4. Step 4: Simplify right side
    9,700.20x = 73,726,031.24
  5. Step 5: Solve for x
    x = 73,726,031.24/9,700.20
  6. Step 6: Final answer
    x = 7,600.47

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