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Finding the Fourth Proportional to 6,339.02, 9,510.74 and 2,831.50

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Solution

The fourth proportional to 6,339.02, 9,510.74 and 2,831.50 is: 4,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.02 : 9,510.74 = 2,831.50 : x
  2. Step 2: Convert to fraction form
    6,339.02/9,510.74 = 2,831.50/x
  3. Step 3: Cross multiply
    6,339.02x = 9,510.74 × 2,831.50
  4. Step 4: Simplify right side
    6,339.02x = 26,929,660.31
  5. Step 5: Solve for x
    x = 26,929,660.31/6,339.02
  6. Step 6: Final answer
    x = 4,248.24

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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.