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Finding the Fourth Proportional to 9,628.80, 14,443.20 and 5,470.08

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Solution

The fourth proportional to 9,628.80, 14,443.20 and 5,470.08 is: 8,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.80 : 14,443.20 = 5,470.08 : x
  2. Step 2: Convert to fraction form
    9,628.80/14,443.20 = 5,470.08/x
  3. Step 3: Cross multiply
    9,628.80x = 14,443.20 × 5,470.08
  4. Step 4: Simplify right side
    9,628.80x = 79,005,459.46
  5. Step 5: Solve for x
    x = 79,005,459.46/9,628.80
  6. Step 6: Final answer
    x = 8,205.12

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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.