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Finding the Fourth Proportional to 9,859.01, 14,788.54 and 2,463.47

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Solution

The fourth proportional to 9,859.01, 14,788.54 and 2,463.47 is: 3,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.01 : 14,788.54 = 2,463.47 : x
  2. Step 2: Convert to fraction form
    9,859.01/14,788.54 = 2,463.47/x
  3. Step 3: Cross multiply
    9,859.01x = 14,788.54 × 2,463.47
  4. Step 4: Simplify right side
    9,859.01x = 36,431,044.53
  5. Step 5: Solve for x
    x = 36,431,044.53/9,859.01
  6. Step 6: Final answer
    x = 3,695.20

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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.