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Finding the Fourth Proportional to 6,509.06, 9,775.43 and 6,244.80

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Solution

The fourth proportional to 6,509.06, 9,775.43 and 6,244.80 is: 9,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.06 : 9,775.43 = 6,244.80 : x
  2. Step 2: Convert to fraction form
    6,509.06/9,775.43 = 6,244.80/x
  3. Step 3: Cross multiply
    6,509.06x = 9,775.43 × 6,244.80
  4. Step 4: Simplify right side
    6,509.06x = 61,045,595.93
  5. Step 5: Solve for x
    x = 61,045,595.93/6,509.06
  6. Step 6: Final answer
    x = 9,378.56

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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.