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Finding the Fourth Proportional to 10,865.96, 16,357.91 and 9,737

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Solution

The fourth proportional to 10,865.96, 16,357.91 and 9,737 is: 14,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.96 : 16,357.91 = 9,737 : x
  2. Step 2: Convert to fraction form
    10,865.96/16,357.91 = 9,737/x
  3. Step 3: Cross multiply
    10,865.96x = 16,357.91 × 9,737
  4. Step 4: Simplify right side
    10,865.96x = 159,276,969.67
  5. Step 5: Solve for x
    x = 159,276,969.67/10,865.96
  6. Step 6: Final answer
    x = 14,658.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.