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Finding the Fourth Proportional to 9,166, 13,748.70 and 2,592.18

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Solution

The fourth proportional to 9,166, 13,748.70 and 2,592.18 is: 3,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166 : 13,748.70 = 2,592.18 : x
  2. Step 2: Convert to fraction form
    9,166/13,748.70 = 2,592.18/x
  3. Step 3: Cross multiply
    9,166x = 13,748.70 × 2,592.18
  4. Step 4: Simplify right side
    9,166x = 35,639,105.17
  5. Step 5: Solve for x
    x = 35,639,105.17/9,166
  6. Step 6: Final answer
    x = 3,888.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.