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Finding the Fourth Proportional to 6,475.19, 9,721.04 and 5,507.46

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Solution

The fourth proportional to 6,475.19, 9,721.04 and 5,507.46 is: 8,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.19 : 9,721.04 = 5,507.46 : x
  2. Step 2: Convert to fraction form
    6,475.19/9,721.04 = 5,507.46/x
  3. Step 3: Cross multiply
    6,475.19x = 9,721.04 × 5,507.46
  4. Step 4: Simplify right side
    6,475.19x = 53,538,211.42
  5. Step 5: Solve for x
    x = 53,538,211.42/6,475.19
  6. Step 6: Final answer
    x = 8,268.21

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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.