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Finding the Fourth Proportional to 9,141.95, 13,714.89 and 2,902.46

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Solution

The fourth proportional to 9,141.95, 13,714.89 and 2,902.46 is: 4,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.95 : 13,714.89 = 2,902.46 : x
  2. Step 2: Convert to fraction form
    9,141.95/13,714.89 = 2,902.46/x
  3. Step 3: Cross multiply
    9,141.95x = 13,714.89 × 2,902.46
  4. Step 4: Simplify right side
    9,141.95x = 39,806,840.17
  5. Step 5: Solve for x
    x = 39,806,840.17/9,141.95
  6. Step 6: Final answer
    x = 4,354.30

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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.