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Finding the Fourth Proportional to 9,479.60, 13,084.46 and 5,502

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Solution

The fourth proportional to 9,479.60, 13,084.46 and 5,502 is: 7,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479.60 : 13,084.46 = 5,502 : x
  2. Step 2: Convert to fraction form
    9,479.60/13,084.46 = 5,502/x
  3. Step 3: Cross multiply
    9,479.60x = 13,084.46 × 5,502
  4. Step 4: Simplify right side
    9,479.60x = 71,990,698.92
  5. Step 5: Solve for x
    x = 71,990,698.92/9,479.60
  6. Step 6: Final answer
    x = 7,594.28

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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.