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Finding the Fourth Proportional to 9,417.96, 14,096.43 and 6,951.78

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Solution

The fourth proportional to 9,417.96, 14,096.43 and 6,951.78 is: 10,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.96 : 14,096.43 = 6,951.78 : x
  2. Step 2: Convert to fraction form
    9,417.96/14,096.43 = 6,951.78/x
  3. Step 3: Cross multiply
    9,417.96x = 14,096.43 × 6,951.78
  4. Step 4: Simplify right side
    9,417.96x = 97,995,280.15
  5. Step 5: Solve for x
    x = 97,995,280.15/9,417.96
  6. Step 6: Final answer
    x = 10,405.15

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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.