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Finding the Fourth Proportional to 6,298.48, 9,428.28 and 4,102.48

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Solution

The fourth proportional to 6,298.48, 9,428.28 and 4,102.48 is: 6,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.48 : 9,428.28 = 4,102.48 : x
  2. Step 2: Convert to fraction form
    6,298.48/9,428.28 = 4,102.48/x
  3. Step 3: Cross multiply
    6,298.48x = 9,428.28 × 4,102.48
  4. Step 4: Simplify right side
    6,298.48x = 38,679,330.13
  5. Step 5: Solve for x
    x = 38,679,330.13/6,298.48
  6. Step 6: Final answer
    x = 6,141.06

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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.