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Finding the Fourth Proportional to 9,883.01, 14,823.41 and 2,487.47

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Solution

The fourth proportional to 9,883.01, 14,823.41 and 2,487.47 is: 3,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.01 : 14,823.41 = 2,487.47 : x
  2. Step 2: Convert to fraction form
    9,883.01/14,823.41 = 2,487.47/x
  3. Step 3: Cross multiply
    9,883.01x = 14,823.41 × 2,487.47
  4. Step 4: Simplify right side
    9,883.01x = 36,872,701.12
  5. Step 5: Solve for x
    x = 36,872,701.12/9,883.01
  6. Step 6: Final answer
    x = 3,730.92

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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.