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Finding the Fourth Proportional to 10,469.78, 14,442.24 and 6,275.60

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Solution

The fourth proportional to 10,469.78, 14,442.24 and 6,275.60 is: 8,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.78 : 14,442.24 = 6,275.60 : x
  2. Step 2: Convert to fraction form
    10,469.78/14,442.24 = 6,275.60/x
  3. Step 3: Cross multiply
    10,469.78x = 14,442.24 × 6,275.60
  4. Step 4: Simplify right side
    10,469.78x = 90,633,721.34
  5. Step 5: Solve for x
    x = 90,633,721.34/10,469.78
  6. Step 6: Final answer
    x = 8,656.70

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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.