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Finding the Fourth Proportional to 9,603.09, 13,256.10 and 6,774.57

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Solution

The fourth proportional to 9,603.09, 13,256.10 and 6,774.57 is: 9,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.09 : 13,256.10 = 6,774.57 : x
  2. Step 2: Convert to fraction form
    9,603.09/13,256.10 = 6,774.57/x
  3. Step 3: Cross multiply
    9,603.09x = 13,256.10 × 6,774.57
  4. Step 4: Simplify right side
    9,603.09x = 89,804,377.38
  5. Step 5: Solve for x
    x = 89,804,377.38/9,603.09
  6. Step 6: Final answer
    x = 9,351.61

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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.