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Finding the Fourth Proportional to 6,948.18, 9,588.51 and 3,964.01

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Solution

The fourth proportional to 6,948.18, 9,588.51 and 3,964.01 is: 5,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.18 : 9,588.51 = 3,964.01 : x
  2. Step 2: Convert to fraction form
    6,948.18/9,588.51 = 3,964.01/x
  3. Step 3: Cross multiply
    6,948.18x = 9,588.51 × 3,964.01
  4. Step 4: Simplify right side
    6,948.18x = 38,008,901.58
  5. Step 5: Solve for x
    x = 38,008,901.58/6,948.18
  6. Step 6: Final answer
    x = 5,470.34

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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.