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Finding the Fourth Proportional to 7,139.40, 9,852.74 and 3,952.68

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Solution

The fourth proportional to 7,139.40, 9,852.74 and 3,952.68 is: 5,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.40 : 9,852.74 = 3,952.68 : x
  2. Step 2: Convert to fraction form
    7,139.40/9,852.74 = 3,952.68/x
  3. Step 3: Cross multiply
    7,139.40x = 9,852.74 × 3,952.68
  4. Step 4: Simplify right side
    7,139.40x = 38,944,728.34
  5. Step 5: Solve for x
    x = 38,944,728.34/7,139.40
  6. Step 6: Final answer
    x = 5,454.90

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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.