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Finding the Fourth Proportional to 10,397.57, 14,340.38 and 9,203.76

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Solution

The fourth proportional to 10,397.57, 14,340.38 and 9,203.76 is: 12,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.57 : 14,340.38 = 9,203.76 : x
  2. Step 2: Convert to fraction form
    10,397.57/14,340.38 = 9,203.76/x
  3. Step 3: Cross multiply
    10,397.57x = 14,340.38 × 9,203.76
  4. Step 4: Simplify right side
    10,397.57x = 131,985,369.81
  5. Step 5: Solve for x
    x = 131,985,369.81/10,397.57
  6. Step 6: Final answer
    x = 12,693.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.