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Finding the Fourth Proportional to 9,103.17, 13,657.59 and 3,259.83

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Solution

The fourth proportional to 9,103.17, 13,657.59 and 3,259.83 is: 4,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.17 : 13,657.59 = 3,259.83 : x
  2. Step 2: Convert to fraction form
    9,103.17/13,657.59 = 3,259.83/x
  3. Step 3: Cross multiply
    9,103.17x = 13,657.59 × 3,259.83
  4. Step 4: Simplify right side
    9,103.17x = 44,521,421.61
  5. Step 5: Solve for x
    x = 44,521,421.61/9,103.17
  6. Step 6: Final answer
    x = 4,890.76

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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.