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Finding the Fourth Proportional to 9,505.97, 14,258.96 and 2,580.47

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Solution

The fourth proportional to 9,505.97, 14,258.96 and 2,580.47 is: 3,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.97 : 14,258.96 = 2,580.47 : x
  2. Step 2: Convert to fraction form
    9,505.97/14,258.96 = 2,580.47/x
  3. Step 3: Cross multiply
    9,505.97x = 14,258.96 × 2,580.47
  4. Step 4: Simplify right side
    9,505.97x = 36,794,797.46
  5. Step 5: Solve for x
    x = 36,794,797.46/9,505.97
  6. Step 6: Final answer
    x = 3,870.70

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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.