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Finding the Fourth Proportional to 6,071.68, 9,102.12 and 2,373.04

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Solution

The fourth proportional to 6,071.68, 9,102.12 and 2,373.04 is: 3,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.68 : 9,102.12 = 2,373.04 : x
  2. Step 2: Convert to fraction form
    6,071.68/9,102.12 = 2,373.04/x
  3. Step 3: Cross multiply
    6,071.68x = 9,102.12 × 2,373.04
  4. Step 4: Simplify right side
    6,071.68x = 21,599,694.84
  5. Step 5: Solve for x
    x = 21,599,694.84/6,071.68
  6. Step 6: Final answer
    x = 3,557.45

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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.