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Finding the Fourth Proportional to 9,529.52, 14,264.04 and 9,166.64

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Solution

The fourth proportional to 9,529.52, 14,264.04 and 9,166.64 is: 13,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.52 : 14,264.04 = 9,166.64 : x
  2. Step 2: Convert to fraction form
    9,529.52/14,264.04 = 9,166.64/x
  3. Step 3: Cross multiply
    9,529.52x = 14,264.04 × 9,166.64
  4. Step 4: Simplify right side
    9,529.52x = 130,753,319.63
  5. Step 5: Solve for x
    x = 130,753,319.63/9,529.52
  6. Step 6: Final answer
    x = 13,720.87

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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.