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Finding the Fourth Proportional to 6,441.60, 9,661.52 and 2,281.70

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Solution

The fourth proportional to 6,441.60, 9,661.52 and 2,281.70 is: 3,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.60 : 9,661.52 = 2,281.70 : x
  2. Step 2: Convert to fraction form
    6,441.60/9,661.52 = 2,281.70/x
  3. Step 3: Cross multiply
    6,441.60x = 9,661.52 × 2,281.70
  4. Step 4: Simplify right side
    6,441.60x = 22,044,690.18
  5. Step 5: Solve for x
    x = 22,044,690.18/6,441.60
  6. Step 6: Final answer
    x = 3,422.24

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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.