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Finding the Fourth Proportional to 9,430.95, 14,142.78 and 4,165.68

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Solution

The fourth proportional to 9,430.95, 14,142.78 and 4,165.68 is: 6,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.95 : 14,142.78 = 4,165.68 : x
  2. Step 2: Convert to fraction form
    9,430.95/14,142.78 = 4,165.68/x
  3. Step 3: Cross multiply
    9,430.95x = 14,142.78 × 4,165.68
  4. Step 4: Simplify right side
    9,430.95x = 58,914,295.79
  5. Step 5: Solve for x
    x = 58,914,295.79/9,430.95
  6. Step 6: Final answer
    x = 6,246.91

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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.