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Finding the Fourth Proportional to 9,472.40, 14,204.76 and 3,314.96

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Solution

The fourth proportional to 9,472.40, 14,204.76 and 3,314.96 is: 4,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.40 : 14,204.76 = 3,314.96 : x
  2. Step 2: Convert to fraction form
    9,472.40/14,204.76 = 3,314.96/x
  3. Step 3: Cross multiply
    9,472.40x = 14,204.76 × 3,314.96
  4. Step 4: Simplify right side
    9,472.40x = 47,088,211.21
  5. Step 5: Solve for x
    x = 47,088,211.21/9,472.40
  6. Step 6: Final answer
    x = 4,971.10

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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.