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Finding the Fourth Proportional to 6,531.18, 9,784.42 and 5,063.14

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Solution

The fourth proportional to 6,531.18, 9,784.42 and 5,063.14 is: 7,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.18 : 9,784.42 = 5,063.14 : x
  2. Step 2: Convert to fraction form
    6,531.18/9,784.42 = 5,063.14/x
  3. Step 3: Cross multiply
    6,531.18x = 9,784.42 × 5,063.14
  4. Step 4: Simplify right side
    6,531.18x = 49,539,888.28
  5. Step 5: Solve for x
    x = 49,539,888.28/6,531.18
  6. Step 6: Final answer
    x = 7,585.14

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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.