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Finding the Fourth Proportional to 9,258.47, 13,887.70 and 2,332.97

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Solution

The fourth proportional to 9,258.47, 13,887.70 and 2,332.97 is: 3,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.47 : 13,887.70 = 2,332.97 : x
  2. Step 2: Convert to fraction form
    9,258.47/13,887.70 = 2,332.97/x
  3. Step 3: Cross multiply
    9,258.47x = 13,887.70 × 2,332.97
  4. Step 4: Simplify right side
    9,258.47x = 32,399,577.40
  5. Step 5: Solve for x
    x = 32,399,577.40/9,258.47
  6. Step 6: Final answer
    x = 3,499.45

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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.