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Finding the Fourth Proportional to 9,140.54, 12,613.96 and 4,948.80

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Solution

The fourth proportional to 9,140.54, 12,613.96 and 4,948.80 is: 6,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.54 : 12,613.96 = 4,948.80 : x
  2. Step 2: Convert to fraction form
    9,140.54/12,613.96 = 4,948.80/x
  3. Step 3: Cross multiply
    9,140.54x = 12,613.96 × 4,948.80
  4. Step 4: Simplify right side
    9,140.54x = 62,423,965.25
  5. Step 5: Solve for x
    x = 62,423,965.25/9,140.54
  6. Step 6: Final answer
    x = 6,829.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.