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Finding the Fourth Proportional to 9,239.64, 12,750.80 and 5,260.74

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Solution

The fourth proportional to 9,239.64, 12,750.80 and 5,260.74 is: 7,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.64 : 12,750.80 = 5,260.74 : x
  2. Step 2: Convert to fraction form
    9,239.64/12,750.80 = 5,260.74/x
  3. Step 3: Cross multiply
    9,239.64x = 12,750.80 × 5,260.74
  4. Step 4: Simplify right side
    9,239.64x = 67,078,643.59
  5. Step 5: Solve for x
    x = 67,078,643.59/9,239.64
  6. Step 6: Final answer
    x = 7,259.88

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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.