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Finding the Fourth Proportional to 8,966.40, 13,442.56 and 4,348.16

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Solution

The fourth proportional to 8,966.40, 13,442.56 and 4,348.16 is: 6,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.40 : 13,442.56 = 4,348.16 : x
  2. Step 2: Convert to fraction form
    8,966.40/13,442.56 = 4,348.16/x
  3. Step 3: Cross multiply
    8,966.40x = 13,442.56 × 4,348.16
  4. Step 4: Simplify right side
    8,966.40x = 58,450,401.69
  5. Step 5: Solve for x
    x = 58,450,401.69/8,966.40
  6. Step 6: Final answer
    x = 6,518.83

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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.