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Finding the Fourth Proportional to 6,000.95, 9,001.42 and 1,618.40

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Solution

The fourth proportional to 6,000.95, 9,001.42 and 1,618.40 is: 2,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.95 : 9,001.42 = 1,618.40 : x
  2. Step 2: Convert to fraction form
    6,000.95/9,001.42 = 1,618.40/x
  3. Step 3: Cross multiply
    6,000.95x = 9,001.42 × 1,618.40
  4. Step 4: Simplify right side
    6,000.95x = 14,567,898.13
  5. Step 5: Solve for x
    x = 14,567,898.13/6,000.95
  6. Step 6: Final answer
    x = 2,427.60

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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.