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Finding the Fourth Proportional to 9,451.60, 14,182.80 and 3,612.40

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Solution

The fourth proportional to 9,451.60, 14,182.80 and 3,612.40 is: 5,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.60 : 14,182.80 = 3,612.40 : x
  2. Step 2: Convert to fraction form
    9,451.60/14,182.80 = 3,612.40/x
  3. Step 3: Cross multiply
    9,451.60x = 14,182.80 × 3,612.40
  4. Step 4: Simplify right side
    9,451.60x = 51,233,946.72
  5. Step 5: Solve for x
    x = 51,233,946.72/9,451.60
  6. Step 6: Final answer
    x = 5,420.66

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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.