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Finding the Fourth Proportional to 7,139.32, 9,852.06 and 3,952.77

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Solution

The fourth proportional to 7,139.32, 9,852.06 and 3,952.77 is: 5,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.32 : 9,852.06 = 3,952.77 : x
  2. Step 2: Convert to fraction form
    7,139.32/9,852.06 = 3,952.77/x
  3. Step 3: Cross multiply
    7,139.32x = 9,852.06 × 3,952.77
  4. Step 4: Simplify right side
    7,139.32x = 38,942,905.08
  5. Step 5: Solve for x
    x = 38,942,905.08/7,139.32
  6. Step 6: Final answer
    x = 5,454.71

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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.