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Finding the Fourth Proportional to 9,116.58, 12,581.10 and 5,342.16

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Solution

The fourth proportional to 9,116.58, 12,581.10 and 5,342.16 is: 7,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.58 : 12,581.10 = 5,342.16 : x
  2. Step 2: Convert to fraction form
    9,116.58/12,581.10 = 5,342.16/x
  3. Step 3: Cross multiply
    9,116.58x = 12,581.10 × 5,342.16
  4. Step 4: Simplify right side
    9,116.58x = 67,210,249.18
  5. Step 5: Solve for x
    x = 67,210,249.18/9,116.58
  6. Step 6: Final answer
    x = 7,372.31

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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.