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Finding the Fourth Proportional to 12,291.04, 16,961.60 and 6,702

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Solution

The fourth proportional to 12,291.04, 16,961.60 and 6,702 is: 9,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.04 : 16,961.60 = 6,702 : x
  2. Step 2: Convert to fraction form
    12,291.04/16,961.60 = 6,702/x
  3. Step 3: Cross multiply
    12,291.04x = 16,961.60 × 6,702
  4. Step 4: Simplify right side
    12,291.04x = 113,676,643.20
  5. Step 5: Solve for x
    x = 113,676,643.20/12,291.04
  6. Step 6: Final answer
    x = 9,248.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.