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Finding the Fourth Proportional to 7,177.97, 9,904.88 and 4,488.67

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Solution

The fourth proportional to 7,177.97, 9,904.88 and 4,488.67 is: 6,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.97 : 9,904.88 = 4,488.67 : x
  2. Step 2: Convert to fraction form
    7,177.97/9,904.88 = 4,488.67/x
  3. Step 3: Cross multiply
    7,177.97x = 9,904.88 × 4,488.67
  4. Step 4: Simplify right side
    7,177.97x = 44,459,705.60
  5. Step 5: Solve for x
    x = 44,459,705.60/7,177.97
  6. Step 6: Final answer
    x = 6,193.91

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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.