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Finding the Fourth Proportional to 6,298.18, 9,440.11 and 4,901.20

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Solution

The fourth proportional to 6,298.18, 9,440.11 and 4,901.20 is: 7,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.18 : 9,440.11 = 4,901.20 : x
  2. Step 2: Convert to fraction form
    6,298.18/9,440.11 = 4,901.20/x
  3. Step 3: Cross multiply
    6,298.18x = 9,440.11 × 4,901.20
  4. Step 4: Simplify right side
    6,298.18x = 46,267,867.13
  5. Step 5: Solve for x
    x = 46,267,867.13/6,298.18
  6. Step 6: Final answer
    x = 7,346.23

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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.