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Finding the Fourth Proportional to 9,470.87, 13,069.85 and 5,494.34

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Solution

The fourth proportional to 9,470.87, 13,069.85 and 5,494.34 is: 7,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.87 : 13,069.85 = 5,494.34 : x
  2. Step 2: Convert to fraction form
    9,470.87/13,069.85 = 5,494.34/x
  3. Step 3: Cross multiply
    9,470.87x = 13,069.85 × 5,494.34
  4. Step 4: Simplify right side
    9,470.87x = 71,810,199.65
  5. Step 5: Solve for x
    x = 71,810,199.65/9,470.87
  6. Step 6: Final answer
    x = 7,582.22

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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.