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Finding the Fourth Proportional to 9,454.77, 14,185.38 and 4,189.08

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Solution

The fourth proportional to 9,454.77, 14,185.38 and 4,189.08 is: 6,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.77 : 14,185.38 = 4,189.08 : x
  2. Step 2: Convert to fraction form
    9,454.77/14,185.38 = 4,189.08/x
  3. Step 3: Cross multiply
    9,454.77x = 14,185.38 × 4,189.08
  4. Step 4: Simplify right side
    9,454.77x = 59,423,691.65
  5. Step 5: Solve for x
    x = 59,423,691.65/9,454.77
  6. Step 6: Final answer
    x = 6,285.05

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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.