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Finding the Fourth Proportional to 6,509.78, 9,762.63 and 2,349.24

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Solution

The fourth proportional to 6,509.78, 9,762.63 and 2,349.24 is: 3,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.78 : 9,762.63 = 2,349.24 : x
  2. Step 2: Convert to fraction form
    6,509.78/9,762.63 = 2,349.24/x
  3. Step 3: Cross multiply
    6,509.78x = 9,762.63 × 2,349.24
  4. Step 4: Simplify right side
    6,509.78x = 22,934,760.90
  5. Step 5: Solve for x
    x = 22,934,760.90/6,509.78
  6. Step 6: Final answer
    x = 3,523.13

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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.