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Finding the Fourth Proportional to 9,781.40, 14,671.74 and 4,159.28

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Solution

The fourth proportional to 9,781.40, 14,671.74 and 4,159.28 is: 6,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.40 : 14,671.74 = 4,159.28 : x
  2. Step 2: Convert to fraction form
    9,781.40/14,671.74 = 4,159.28/x
  3. Step 3: Cross multiply
    9,781.40x = 14,671.74 × 4,159.28
  4. Step 4: Simplify right side
    9,781.40x = 61,023,874.75
  5. Step 5: Solve for x
    x = 61,023,874.75/9,781.40
  6. Step 6: Final answer
    x = 6,238.77

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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.