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Finding the Fourth Proportional to 9,532.92, 13,166.46 and 6,543.84

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Solution

The fourth proportional to 9,532.92, 13,166.46 and 6,543.84 is: 9,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.92 : 13,166.46 = 6,543.84 : x
  2. Step 2: Convert to fraction form
    9,532.92/13,166.46 = 6,543.84/x
  3. Step 3: Cross multiply
    9,532.92x = 13,166.46 × 6,543.84
  4. Step 4: Simplify right side
    9,532.92x = 86,159,207.61
  5. Step 5: Solve for x
    x = 86,159,207.61/9,532.92
  6. Step 6: Final answer
    x = 9,038.07

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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.