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Finding the Fourth Proportional to 9,105.11, 13,657.64 and 4,101.63

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Solution

The fourth proportional to 9,105.11, 13,657.64 and 4,101.63 is: 6,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.11 : 13,657.64 = 4,101.63 : x
  2. Step 2: Convert to fraction form
    9,105.11/13,657.64 = 4,101.63/x
  3. Step 3: Cross multiply
    9,105.11x = 13,657.64 × 4,101.63
  4. Step 4: Simplify right side
    9,105.11x = 56,018,552.64
  5. Step 5: Solve for x
    x = 56,018,552.64/9,105.11
  6. Step 6: Final answer
    x = 6,152.43

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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.