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Finding the Fourth Proportional to 6,298.02, 9,447.02 and 3,001.11

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Solution

The fourth proportional to 6,298.02, 9,447.02 and 3,001.11 is: 4,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.02 : 9,447.02 = 3,001.11 : x
  2. Step 2: Convert to fraction form
    6,298.02/9,447.02 = 3,001.11/x
  3. Step 3: Cross multiply
    6,298.02x = 9,447.02 × 3,001.11
  4. Step 4: Simplify right side
    6,298.02x = 28,351,546.19
  5. Step 5: Solve for x
    x = 28,351,546.19/6,298.02
  6. Step 6: Final answer
    x = 4,501.66

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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.