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Finding the Fourth Proportional to 9,291.98, 13,944.72 and 5,787.08

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Solution

The fourth proportional to 9,291.98, 13,944.72 and 5,787.08 is: 8,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.98 : 13,944.72 = 5,787.08 : x
  2. Step 2: Convert to fraction form
    9,291.98/13,944.72 = 5,787.08/x
  3. Step 3: Cross multiply
    9,291.98x = 13,944.72 × 5,787.08
  4. Step 4: Simplify right side
    9,291.98x = 80,699,210.22
  5. Step 5: Solve for x
    x = 80,699,210.22/9,291.98
  6. Step 6: Final answer
    x = 8,684.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.