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Finding the Fourth Proportional to 9,470.88, 14,206.40 and 4,857.12

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Solution

The fourth proportional to 9,470.88, 14,206.40 and 4,857.12 is: 7,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.88 : 14,206.40 = 4,857.12 : x
  2. Step 2: Convert to fraction form
    9,470.88/14,206.40 = 4,857.12/x
  3. Step 3: Cross multiply
    9,470.88x = 14,206.40 × 4,857.12
  4. Step 4: Simplify right side
    9,470.88x = 69,002,189.57
  5. Step 5: Solve for x
    x = 69,002,189.57/9,470.88
  6. Step 6: Final answer
    x = 7,285.72

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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.