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Finding the Fourth Proportional to 7,152.31, 9,870.77 and 3,965.93

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Solution

The fourth proportional to 7,152.31, 9,870.77 and 3,965.93 is: 5,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.31 : 9,870.77 = 3,965.93 : x
  2. Step 2: Convert to fraction form
    7,152.31/9,870.77 = 3,965.93/x
  3. Step 3: Cross multiply
    7,152.31x = 9,870.77 × 3,965.93
  4. Step 4: Simplify right side
    7,152.31x = 39,146,743.43
  5. Step 5: Solve for x
    x = 39,146,743.43/7,152.31
  6. Step 6: Final answer
    x = 5,473.30

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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.