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Finding the Fourth Proportional to 9,909.19, 14,863.64 and 2,412.78

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Solution

The fourth proportional to 9,909.19, 14,863.64 and 2,412.78 is: 3,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.19 : 14,863.64 = 2,412.78 : x
  2. Step 2: Convert to fraction form
    9,909.19/14,863.64 = 2,412.78/x
  3. Step 3: Cross multiply
    9,909.19x = 14,863.64 × 2,412.78
  4. Step 4: Simplify right side
    9,909.19x = 35,862,693.32
  5. Step 5: Solve for x
    x = 35,862,693.32/9,909.19
  6. Step 6: Final answer
    x = 3,619.14

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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.