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Finding the Fourth Proportional to 6,204.38, 9,312.72 and 5,048.01

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Solution

The fourth proportional to 6,204.38, 9,312.72 and 5,048.01 is: 7,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.38 : 9,312.72 = 5,048.01 : x
  2. Step 2: Convert to fraction form
    6,204.38/9,312.72 = 5,048.01/x
  3. Step 3: Cross multiply
    6,204.38x = 9,312.72 × 5,048.01
  4. Step 4: Simplify right side
    6,204.38x = 47,010,703.69
  5. Step 5: Solve for x
    x = 47,010,703.69/6,204.38
  6. Step 6: Final answer
    x = 7,577.02

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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.