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Finding the Fourth Proportional to 9,442.80, 13,015.92 and 6,417.04

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Solution

The fourth proportional to 9,442.80, 13,015.92 and 6,417.04 is: 8,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.80 : 13,015.92 = 6,417.04 : x
  2. Step 2: Convert to fraction form
    9,442.80/13,015.92 = 6,417.04/x
  3. Step 3: Cross multiply
    9,442.80x = 13,015.92 × 6,417.04
  4. Step 4: Simplify right side
    9,442.80x = 83,523,679.28
  5. Step 5: Solve for x
    x = 83,523,679.28/9,442.80
  6. Step 6: Final answer
    x = 8,845.22

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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.