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Finding the Fourth Proportional to 9,737.33, 14,605.98 and 2,341.78

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Solution

The fourth proportional to 9,737.33, 14,605.98 and 2,341.78 is: 3,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.33 : 14,605.98 = 2,341.78 : x
  2. Step 2: Convert to fraction form
    9,737.33/14,605.98 = 2,341.78/x
  3. Step 3: Cross multiply
    9,737.33x = 14,605.98 × 2,341.78
  4. Step 4: Simplify right side
    9,737.33x = 34,204,001.32
  5. Step 5: Solve for x
    x = 34,204,001.32/9,737.33
  6. Step 6: Final answer
    x = 3,512.67

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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.