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Finding the Fourth Proportional to 6,870.34, 9,470.82 and 4,874.50

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Solution

The fourth proportional to 6,870.34, 9,470.82 and 4,874.50 is: 6,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.34 : 9,470.82 = 4,874.50 : x
  2. Step 2: Convert to fraction form
    6,870.34/9,470.82 = 4,874.50/x
  3. Step 3: Cross multiply
    6,870.34x = 9,470.82 × 4,874.50
  4. Step 4: Simplify right side
    6,870.34x = 46,165,512.09
  5. Step 5: Solve for x
    x = 46,165,512.09/6,870.34
  6. Step 6: Final answer
    x = 6,719.54

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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.