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Finding the Fourth Proportional to 9,894.19, 14,841.25 and 2,499.24

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Solution

The fourth proportional to 9,894.19, 14,841.25 and 2,499.24 is: 3,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.19 : 14,841.25 = 2,499.24 : x
  2. Step 2: Convert to fraction form
    9,894.19/14,841.25 = 2,499.24/x
  3. Step 3: Cross multiply
    9,894.19x = 14,841.25 × 2,499.24
  4. Step 4: Simplify right side
    9,894.19x = 37,091,845.65
  5. Step 5: Solve for x
    x = 37,091,845.65/9,894.19
  6. Step 6: Final answer
    x = 3,748.85

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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.