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Finding the Fourth Proportional to 6,499.42, 9,749.08 and 1,569.04

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Solution

The fourth proportional to 6,499.42, 9,749.08 and 1,569.04 is: 2,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.42 : 9,749.08 = 1,569.04 : x
  2. Step 2: Convert to fraction form
    6,499.42/9,749.08 = 1,569.04/x
  3. Step 3: Cross multiply
    6,499.42x = 9,749.08 × 1,569.04
  4. Step 4: Simplify right side
    6,499.42x = 15,296,696.48
  5. Step 5: Solve for x
    x = 15,296,696.48/6,499.42
  6. Step 6: Final answer
    x = 2,353.55

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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.