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Finding the Fourth Proportional to 9,761.64, 14,650.35 and 5,547.48

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Solution

The fourth proportional to 9,761.64, 14,650.35 and 5,547.48 is: 8,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.64 : 14,650.35 = 5,547.48 : x
  2. Step 2: Convert to fraction form
    9,761.64/14,650.35 = 5,547.48/x
  3. Step 3: Cross multiply
    9,761.64x = 14,650.35 × 5,547.48
  4. Step 4: Simplify right side
    9,761.64x = 81,272,523.62
  5. Step 5: Solve for x
    x = 81,272,523.62/9,761.64
  6. Step 6: Final answer
    x = 8,325.70

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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.