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Finding the Fourth Proportional to 9,107.52, 13,670.88 and 6,519.36

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Solution

The fourth proportional to 9,107.52, 13,670.88 and 6,519.36 is: 9,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.52 : 13,670.88 = 6,519.36 : x
  2. Step 2: Convert to fraction form
    9,107.52/13,670.88 = 6,519.36/x
  3. Step 3: Cross multiply
    9,107.52x = 13,670.88 × 6,519.36
  4. Step 4: Simplify right side
    9,107.52x = 89,125,388.24
  5. Step 5: Solve for x
    x = 89,125,388.24/9,107.52
  6. Step 6: Final answer
    x = 9,785.91

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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.