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Finding the Fourth Proportional to 9,895.96, 14,842.57 and 2,499.96

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Solution

The fourth proportional to 9,895.96, 14,842.57 and 2,499.96 is: 3,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.96 : 14,842.57 = 2,499.96 : x
  2. Step 2: Convert to fraction form
    9,895.96/14,842.57 = 2,499.96/x
  3. Step 3: Cross multiply
    9,895.96x = 14,842.57 × 2,499.96
  4. Step 4: Simplify right side
    9,895.96x = 37,105,862.15
  5. Step 5: Solve for x
    x = 37,105,862.15/9,895.96
  6. Step 6: Final answer
    x = 3,749.60

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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.