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Finding the Fourth Proportional to 7,218.34, 9,965.90 and 5,895.20

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Solution

The fourth proportional to 7,218.34, 9,965.90 and 5,895.20 is: 8,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.34 : 9,965.90 = 5,895.20 : x
  2. Step 2: Convert to fraction form
    7,218.34/9,965.90 = 5,895.20/x
  3. Step 3: Cross multiply
    7,218.34x = 9,965.90 × 5,895.20
  4. Step 4: Simplify right side
    7,218.34x = 58,750,973.68
  5. Step 5: Solve for x
    x = 58,750,973.68/7,218.34
  6. Step 6: Final answer
    x = 8,139.13

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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.