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Finding the Fourth Proportional to 9,110.72, 12,572.16 and 5,384

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Solution

The fourth proportional to 9,110.72, 12,572.16 and 5,384 is: 7,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.72 : 12,572.16 = 5,384 : x
  2. Step 2: Convert to fraction form
    9,110.72/12,572.16 = 5,384/x
  3. Step 3: Cross multiply
    9,110.72x = 12,572.16 × 5,384
  4. Step 4: Simplify right side
    9,110.72x = 67,688,509.44
  5. Step 5: Solve for x
    x = 67,688,509.44/9,110.72
  6. Step 6: Final answer
    x = 7,429.55

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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.