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Finding the Fourth Proportional to 6,513.59, 9,748.16 and 4,140.47

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Solution

The fourth proportional to 6,513.59, 9,748.16 and 4,140.47 is: 6,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.59 : 9,748.16 = 4,140.47 : x
  2. Step 2: Convert to fraction form
    6,513.59/9,748.16 = 4,140.47/x
  3. Step 3: Cross multiply
    6,513.59x = 9,748.16 × 4,140.47
  4. Step 4: Simplify right side
    6,513.59x = 40,361,964.04
  5. Step 5: Solve for x
    x = 40,361,964.04/6,513.59
  6. Step 6: Final answer
    x = 6,196.58

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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.