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Finding the Fourth Proportional to 9,909.66, 14,864.46 and 2,514.11

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Solution

The fourth proportional to 9,909.66, 14,864.46 and 2,514.11 is: 3,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.66 : 14,864.46 = 2,514.11 : x
  2. Step 2: Convert to fraction form
    9,909.66/14,864.46 = 2,514.11/x
  3. Step 3: Cross multiply
    9,909.66x = 14,864.46 × 2,514.11
  4. Step 4: Simplify right side
    9,909.66x = 37,370,813.21
  5. Step 5: Solve for x
    x = 37,370,813.21/9,909.66
  6. Step 6: Final answer
    x = 3,771.15

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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.