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Finding the Fourth Proportional to 6,989.54, 9,635.13 and 4,627.58

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Solution

The fourth proportional to 6,989.54, 9,635.13 and 4,627.58 is: 6,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.54 : 9,635.13 = 4,627.58 : x
  2. Step 2: Convert to fraction form
    6,989.54/9,635.13 = 4,627.58/x
  3. Step 3: Cross multiply
    6,989.54x = 9,635.13 × 4,627.58
  4. Step 4: Simplify right side
    6,989.54x = 44,587,334.89
  5. Step 5: Solve for x
    x = 44,587,334.89/6,989.54
  6. Step 6: Final answer
    x = 6,379.15

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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.