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Finding the Fourth Proportional to 9,134.67, 13,702.01 and 2,894.70

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Solution

The fourth proportional to 9,134.67, 13,702.01 and 2,894.70 is: 4,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.67 : 13,702.01 = 2,894.70 : x
  2. Step 2: Convert to fraction form
    9,134.67/13,702.01 = 2,894.70/x
  3. Step 3: Cross multiply
    9,134.67x = 13,702.01 × 2,894.70
  4. Step 4: Simplify right side
    9,134.67x = 39,663,193.87
  5. Step 5: Solve for x
    x = 39,663,193.87/9,134.67
  6. Step 6: Final answer
    x = 4,342.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.