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Finding the Fourth Proportional to 9,335.89, 14,000.78 and 3,411.41

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Solution

The fourth proportional to 9,335.89, 14,000.78 and 3,411.41 is: 5,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.89 : 14,000.78 = 3,411.41 : x
  2. Step 2: Convert to fraction form
    9,335.89/14,000.78 = 3,411.41/x
  3. Step 3: Cross multiply
    9,335.89x = 14,000.78 × 3,411.41
  4. Step 4: Simplify right side
    9,335.89x = 47,762,400.90
  5. Step 5: Solve for x
    x = 47,762,400.90/9,335.89
  6. Step 6: Final answer
    x = 5,116.00

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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.