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Finding the Fourth Proportional to 9,148.40, 13,722.60 and 6,815.60

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Solution

The fourth proportional to 9,148.40, 13,722.60 and 6,815.60 is: 10,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.40 : 13,722.60 = 6,815.60 : x
  2. Step 2: Convert to fraction form
    9,148.40/13,722.60 = 6,815.60/x
  3. Step 3: Cross multiply
    9,148.40x = 13,722.60 × 6,815.60
  4. Step 4: Simplify right side
    9,148.40x = 93,527,752.56
  5. Step 5: Solve for x
    x = 93,527,752.56/9,148.40
  6. Step 6: Final answer
    x = 10,223.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.