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Finding the Fourth Proportional to 9,362.76, 12,923.16 and 5,385.12

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Solution

The fourth proportional to 9,362.76, 12,923.16 and 5,385.12 is: 7,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.76 : 12,923.16 = 5,385.12 : x
  2. Step 2: Convert to fraction form
    9,362.76/12,923.16 = 5,385.12/x
  3. Step 3: Cross multiply
    9,362.76x = 12,923.16 × 5,385.12
  4. Step 4: Simplify right side
    9,362.76x = 69,592,767.38
  5. Step 5: Solve for x
    x = 69,592,767.38/9,362.76
  6. Step 6: Final answer
    x = 7,432.93

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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.