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Finding the Fourth Proportional to 6,206.38, 9,315.72 and 5,050.02

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Solution

The fourth proportional to 6,206.38, 9,315.72 and 5,050.02 is: 7,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.38 : 9,315.72 = 5,050.02 : x
  2. Step 2: Convert to fraction form
    6,206.38/9,315.72 = 5,050.02/x
  3. Step 3: Cross multiply
    6,206.38x = 9,315.72 × 5,050.02
  4. Step 4: Simplify right side
    6,206.38x = 47,044,572.31
  5. Step 5: Solve for x
    x = 47,044,572.31/6,206.38
  6. Step 6: Final answer
    x = 7,580.03

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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.