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Finding the Fourth Proportional to 6,948.47, 9,588.49 and 3,964.58

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Solution

The fourth proportional to 6,948.47, 9,588.49 and 3,964.58 is: 5,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.47 : 9,588.49 = 3,964.58 : x
  2. Step 2: Convert to fraction form
    6,948.47/9,588.49 = 3,964.58/x
  3. Step 3: Cross multiply
    6,948.47x = 9,588.49 × 3,964.58
  4. Step 4: Simplify right side
    6,948.47x = 38,014,335.68
  5. Step 5: Solve for x
    x = 38,014,335.68/6,948.47
  6. Step 6: Final answer
    x = 5,470.89

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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.