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Finding the Fourth Proportional to 6,987.98, 9,648.35 and 4,635.02

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Solution

The fourth proportional to 6,987.98, 9,648.35 and 4,635.02 is: 6,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.98 : 9,648.35 = 4,635.02 : x
  2. Step 2: Convert to fraction form
    6,987.98/9,648.35 = 4,635.02/x
  3. Step 3: Cross multiply
    6,987.98x = 9,648.35 × 4,635.02
  4. Step 4: Simplify right side
    6,987.98x = 44,720,295.22
  5. Step 5: Solve for x
    x = 44,720,295.22/6,987.98
  6. Step 6: Final answer
    x = 6,399.60

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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.