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Finding the Fourth Proportional to 9,715.52, 13,412.04 and 6,588.20

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Solution

The fourth proportional to 9,715.52, 13,412.04 and 6,588.20 is: 9,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.52 : 13,412.04 = 6,588.20 : x
  2. Step 2: Convert to fraction form
    9,715.52/13,412.04 = 6,588.20/x
  3. Step 3: Cross multiply
    9,715.52x = 13,412.04 × 6,588.20
  4. Step 4: Simplify right side
    9,715.52x = 88,361,201.93
  5. Step 5: Solve for x
    x = 88,361,201.93/9,715.52
  6. Step 6: Final answer
    x = 9,094.85

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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.