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Finding the Fourth Proportional to 10,261.02, 15,310.95 and 9,634.08

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Solution

The fourth proportional to 10,261.02, 15,310.95 and 9,634.08 is: 14,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.02 : 15,310.95 = 9,634.08 : x
  2. Step 2: Convert to fraction form
    10,261.02/15,310.95 = 9,634.08/x
  3. Step 3: Cross multiply
    10,261.02x = 15,310.95 × 9,634.08
  4. Step 4: Simplify right side
    10,261.02x = 147,506,917.18
  5. Step 5: Solve for x
    x = 147,506,917.18/10,261.02
  6. Step 6: Final answer
    x = 14,375.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.