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Finding the Fourth Proportional to 6,007, 9,008.20 and 2,886.12

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Solution

The fourth proportional to 6,007, 9,008.20 and 2,886.12 is: 4,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007 : 9,008.20 = 2,886.12 : x
  2. Step 2: Convert to fraction form
    6,007/9,008.20 = 2,886.12/x
  3. Step 3: Cross multiply
    6,007x = 9,008.20 × 2,886.12
  4. Step 4: Simplify right side
    6,007x = 25,998,746.18
  5. Step 5: Solve for x
    x = 25,998,746.18/6,007
  6. Step 6: Final answer
    x = 4,328.07

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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.