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Finding the Fourth Proportional to 9,689.76, 13,372.56 and 5,498.28

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Solution

The fourth proportional to 9,689.76, 13,372.56 and 5,498.28 is: 7,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.76 : 13,372.56 = 5,498.28 : x
  2. Step 2: Convert to fraction form
    9,689.76/13,372.56 = 5,498.28/x
  3. Step 3: Cross multiply
    9,689.76x = 13,372.56 × 5,498.28
  4. Step 4: Simplify right side
    9,689.76x = 73,526,079.20
  5. Step 5: Solve for x
    x = 73,526,079.20/9,689.76
  6. Step 6: Final answer
    x = 7,588.02

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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.