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Finding the Fourth Proportional to 9,592.77, 14,366.85 and 9,260.19

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Solution

The fourth proportional to 9,592.77, 14,366.85 and 9,260.19 is: 13,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.77 : 14,366.85 = 9,260.19 : x
  2. Step 2: Convert to fraction form
    9,592.77/14,366.85 = 9,260.19/x
  3. Step 3: Cross multiply
    9,592.77x = 14,366.85 × 9,260.19
  4. Step 4: Simplify right side
    9,592.77x = 133,039,760.70
  5. Step 5: Solve for x
    x = 133,039,760.70/9,592.77
  6. Step 6: Final answer
    x = 13,868.75

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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.