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Finding the Fourth Proportional to 6,442.40, 9,663.60 and 5,146.40

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Solution

The fourth proportional to 6,442.40, 9,663.60 and 5,146.40 is: 7,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.40 : 9,663.60 = 5,146.40 : x
  2. Step 2: Convert to fraction form
    6,442.40/9,663.60 = 5,146.40/x
  3. Step 3: Cross multiply
    6,442.40x = 9,663.60 × 5,146.40
  4. Step 4: Simplify right side
    6,442.40x = 49,732,751.04
  5. Step 5: Solve for x
    x = 49,732,751.04/6,442.40
  6. Step 6: Final answer
    x = 7,719.60

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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.