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Finding the Fourth Proportional to 6,508.19, 9,756.81 and 5,272.53

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Solution

The fourth proportional to 6,508.19, 9,756.81 and 5,272.53 is: 7,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.19 : 9,756.81 = 5,272.53 : x
  2. Step 2: Convert to fraction form
    6,508.19/9,756.81 = 5,272.53/x
  3. Step 3: Cross multiply
    6,508.19x = 9,756.81 × 5,272.53
  4. Step 4: Simplify right side
    6,508.19x = 51,443,047.07
  5. Step 5: Solve for x
    x = 51,443,047.07/6,508.19
  6. Step 6: Final answer
    x = 7,904.36

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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.