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Finding the Fourth Proportional to 9,475.40, 14,213.59 and 4,209.17

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Solution

The fourth proportional to 9,475.40, 14,213.59 and 4,209.17 is: 6,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.40 : 14,213.59 = 4,209.17 : x
  2. Step 2: Convert to fraction form
    9,475.40/14,213.59 = 4,209.17/x
  3. Step 3: Cross multiply
    9,475.40x = 14,213.59 × 4,209.17
  4. Step 4: Simplify right side
    9,475.40x = 59,827,358.71
  5. Step 5: Solve for x
    x = 59,827,358.71/9,475.40
  6. Step 6: Final answer
    x = 6,313.97

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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.