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Finding the Fourth Proportional to 9,531.10, 14,277.75 and 6,358.78

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Solution

The fourth proportional to 9,531.10, 14,277.75 and 6,358.78 is: 9,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.10 : 14,277.75 = 6,358.78 : x
  2. Step 2: Convert to fraction form
    9,531.10/14,277.75 = 6,358.78/x
  3. Step 3: Cross multiply
    9,531.10x = 14,277.75 × 6,358.78
  4. Step 4: Simplify right side
    9,531.10x = 90,789,071.15
  5. Step 5: Solve for x
    x = 90,789,071.15/9,531.10
  6. Step 6: Final answer
    x = 9,525.56

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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.