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Finding the Fourth Proportional to 9,160.38, 12,634.65 and 5,803.74

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Solution

The fourth proportional to 9,160.38, 12,634.65 and 5,803.74 is: 8,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.38 : 12,634.65 = 5,803.74 : x
  2. Step 2: Convert to fraction form
    9,160.38/12,634.65 = 5,803.74/x
  3. Step 3: Cross multiply
    9,160.38x = 12,634.65 × 5,803.74
  4. Step 4: Simplify right side
    9,160.38x = 73,328,223.59
  5. Step 5: Solve for x
    x = 73,328,223.59/9,160.38
  6. Step 6: Final answer
    x = 8,004.93

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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.