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Finding the Fourth Proportional to 6,531.40, 9,784.86 and 5,442.76

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Solution

The fourth proportional to 6,531.40, 9,784.86 and 5,442.76 is: 8,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.40 : 9,784.86 = 5,442.76 : x
  2. Step 2: Convert to fraction form
    6,531.40/9,784.86 = 5,442.76/x
  3. Step 3: Cross multiply
    6,531.40x = 9,784.86 × 5,442.76
  4. Step 4: Simplify right side
    6,531.40x = 53,256,644.61
  5. Step 5: Solve for x
    x = 53,256,644.61/6,531.40
  6. Step 6: Final answer
    x = 8,153.94

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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.