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Finding the Fourth Proportional to 9,472.35, 13,073.10 and 5,440.77

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Solution

The fourth proportional to 9,472.35, 13,073.10 and 5,440.77 is: 7,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.35 : 13,073.10 = 5,440.77 : x
  2. Step 2: Convert to fraction form
    9,472.35/13,073.10 = 5,440.77/x
  3. Step 3: Cross multiply
    9,472.35x = 13,073.10 × 5,440.77
  4. Step 4: Simplify right side
    9,472.35x = 71,127,730.29
  5. Step 5: Solve for x
    x = 71,127,730.29/9,472.35
  6. Step 6: Final answer
    x = 7,508.98

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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.