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Finding the Fourth Proportional to 9,987.77, 14,982.21 and 2,592.03

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Solution

The fourth proportional to 9,987.77, 14,982.21 and 2,592.03 is: 3,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.77 : 14,982.21 = 2,592.03 : x
  2. Step 2: Convert to fraction form
    9,987.77/14,982.21 = 2,592.03/x
  3. Step 3: Cross multiply
    9,987.77x = 14,982.21 × 2,592.03
  4. Step 4: Simplify right side
    9,987.77x = 38,834,281.60
  5. Step 5: Solve for x
    x = 38,834,281.60/9,987.77
  6. Step 6: Final answer
    x = 3,888.19

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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.