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Finding the Fourth Proportional to 6,102.06, 9,153.08 and 2,404.68

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Solution

The fourth proportional to 6,102.06, 9,153.08 and 2,404.68 is: 3,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.06 : 9,153.08 = 2,404.68 : x
  2. Step 2: Convert to fraction form
    6,102.06/9,153.08 = 2,404.68/x
  3. Step 3: Cross multiply
    6,102.06x = 9,153.08 × 2,404.68
  4. Step 4: Simplify right side
    6,102.06x = 22,010,228.41
  5. Step 5: Solve for x
    x = 22,010,228.41/6,102.06
  6. Step 6: Final answer
    x = 3,607.02

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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.