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Finding the Fourth Proportional to 9,470.60, 14,211.30 and 3,631.40

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Solution

The fourth proportional to 9,470.60, 14,211.30 and 3,631.40 is: 5,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.60 : 14,211.30 = 3,631.40 : x
  2. Step 2: Convert to fraction form
    9,470.60/14,211.30 = 3,631.40/x
  3. Step 3: Cross multiply
    9,470.60x = 14,211.30 × 3,631.40
  4. Step 4: Simplify right side
    9,470.60x = 51,606,914.82
  5. Step 5: Solve for x
    x = 51,606,914.82/9,470.60
  6. Step 6: Final answer
    x = 5,449.17

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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.