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Finding the Fourth Proportional to 9,104.84, 13,657.26 and 3,261.80

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Solution

The fourth proportional to 9,104.84, 13,657.26 and 3,261.80 is: 4,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.84 : 13,657.26 = 3,261.80 : x
  2. Step 2: Convert to fraction form
    9,104.84/13,657.26 = 3,261.80/x
  3. Step 3: Cross multiply
    9,104.84x = 13,657.26 × 3,261.80
  4. Step 4: Simplify right side
    9,104.84x = 44,547,250.67
  5. Step 5: Solve for x
    x = 44,547,250.67/9,104.84
  6. Step 6: Final answer
    x = 4,892.70

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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.