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Finding the Fourth Proportional to 9,909.51, 14,864.81 and 2,514.03

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Solution

The fourth proportional to 9,909.51, 14,864.81 and 2,514.03 is: 3,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.51 : 14,864.81 = 2,514.03 : x
  2. Step 2: Convert to fraction form
    9,909.51/14,864.81 = 2,514.03/x
  3. Step 3: Cross multiply
    9,909.51x = 14,864.81 × 2,514.03
  4. Step 4: Simplify right side
    9,909.51x = 37,370,578.28
  5. Step 5: Solve for x
    x = 37,370,578.28/9,909.51
  6. Step 6: Final answer
    x = 3,771.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.