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Finding the Fourth Proportional to 9,137.57, 12,605.81 and 5,358.81

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Solution

The fourth proportional to 9,137.57, 12,605.81 and 5,358.81 is: 7,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.57 : 12,605.81 = 5,358.81 : x
  2. Step 2: Convert to fraction form
    9,137.57/12,605.81 = 5,358.81/x
  3. Step 3: Cross multiply
    9,137.57x = 12,605.81 × 5,358.81
  4. Step 4: Simplify right side
    9,137.57x = 67,552,154.08
  5. Step 5: Solve for x
    x = 67,552,154.08/9,137.57
  6. Step 6: Final answer
    x = 7,392.80

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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.