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Finding the Fourth Proportional to 9,135.32, 12,606.57 and 5,156.87

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Solution

The fourth proportional to 9,135.32, 12,606.57 and 5,156.87 is: 7,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.32 : 12,606.57 = 5,156.87 : x
  2. Step 2: Convert to fraction form
    9,135.32/12,606.57 = 5,156.87/x
  3. Step 3: Cross multiply
    9,135.32x = 12,606.57 × 5,156.87
  4. Step 4: Simplify right side
    9,135.32x = 65,010,379.60
  5. Step 5: Solve for x
    x = 65,010,379.60/9,135.32
  6. Step 6: Final answer
    x = 7,116.38

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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.