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Finding the Fourth Proportional to 9,613.04, 14,352.42 and 9,022.54

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Solution

The fourth proportional to 9,613.04, 14,352.42 and 9,022.54 is: 13,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.04 : 14,352.42 = 9,022.54 : x
  2. Step 2: Convert to fraction form
    9,613.04/14,352.42 = 9,022.54/x
  3. Step 3: Cross multiply
    9,613.04x = 14,352.42 × 9,022.54
  4. Step 4: Simplify right side
    9,613.04x = 129,495,283.55
  5. Step 5: Solve for x
    x = 129,495,283.55/9,613.04
  6. Step 6: Final answer
    x = 13,470.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.