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Finding the Fourth Proportional to 7,149.84, 9,867.96 and 4,355.16

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Solution

The fourth proportional to 7,149.84, 9,867.96 and 4,355.16 is: 6,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.84 : 9,867.96 = 4,355.16 : x
  2. Step 2: Convert to fraction form
    7,149.84/9,867.96 = 4,355.16/x
  3. Step 3: Cross multiply
    7,149.84x = 9,867.96 × 4,355.16
  4. Step 4: Simplify right side
    7,149.84x = 42,976,544.67
  5. Step 5: Solve for x
    x = 42,976,544.67/7,149.84
  6. Step 6: Final answer
    x = 6,010.84

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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.