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Finding the Fourth Proportional to 6,587.70, 9,084.74 and 4,315.65

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Solution

The fourth proportional to 6,587.70, 9,084.74 and 4,315.65 is: 5,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.70 : 9,084.74 = 4,315.65 : x
  2. Step 2: Convert to fraction form
    6,587.70/9,084.74 = 4,315.65/x
  3. Step 3: Cross multiply
    6,587.70x = 9,084.74 × 4,315.65
  4. Step 4: Simplify right side
    6,587.70x = 39,206,536.60
  5. Step 5: Solve for x
    x = 39,206,536.60/6,587.70
  6. Step 6: Final answer
    x = 5,951.48

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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.