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Finding the Fourth Proportional to 9,614.60, 14,419.20 and 3,042.80

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Solution

The fourth proportional to 9,614.60, 14,419.20 and 3,042.80 is: 4,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.60 : 14,419.20 = 3,042.80 : x
  2. Step 2: Convert to fraction form
    9,614.60/14,419.20 = 3,042.80/x
  3. Step 3: Cross multiply
    9,614.60x = 14,419.20 × 3,042.80
  4. Step 4: Simplify right side
    9,614.60x = 43,874,741.76
  5. Step 5: Solve for x
    x = 43,874,741.76/9,614.60
  6. Step 6: Final answer
    x = 4,563.35

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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.