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Finding the Fourth Proportional to 9,132.84, 13,702.32 and 2,893.86

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Solution

The fourth proportional to 9,132.84, 13,702.32 and 2,893.86 is: 4,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.84 : 13,702.32 = 2,893.86 : x
  2. Step 2: Convert to fraction form
    9,132.84/13,702.32 = 2,893.86/x
  3. Step 3: Cross multiply
    9,132.84x = 13,702.32 × 2,893.86
  4. Step 4: Simplify right side
    9,132.84x = 39,652,595.76
  5. Step 5: Solve for x
    x = 39,652,595.76/9,132.84
  6. Step 6: Final answer
    x = 4,341.76

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