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Finding the Fourth Proportional to 6,987.61, 9,644.80 and 4,118.84

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Solution

The fourth proportional to 6,987.61, 9,644.80 and 4,118.84 is: 5,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.61 : 9,644.80 = 4,118.84 : x
  2. Step 2: Convert to fraction form
    6,987.61/9,644.80 = 4,118.84/x
  3. Step 3: Cross multiply
    6,987.61x = 9,644.80 × 4,118.84
  4. Step 4: Simplify right side
    6,987.61x = 39,725,401.85
  5. Step 5: Solve for x
    x = 39,725,401.85/6,987.61
  6. Step 6: Final answer
    x = 5,685.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.