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Finding the Fourth Proportional to 9,086.66, 12,537.68 and 5,358.50

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Solution

The fourth proportional to 9,086.66, 12,537.68 and 5,358.50 is: 7,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.66 : 12,537.68 = 5,358.50 : x
  2. Step 2: Convert to fraction form
    9,086.66/12,537.68 = 5,358.50/x
  3. Step 3: Cross multiply
    9,086.66x = 12,537.68 × 5,358.50
  4. Step 4: Simplify right side
    9,086.66x = 67,183,158.28
  5. Step 5: Solve for x
    x = 67,183,158.28/9,086.66
  6. Step 6: Final answer
    x = 7,393.60

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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.