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Finding the Fourth Proportional to 9,508.50, 14,271.57 and 4,831.83

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Solution

The fourth proportional to 9,508.50, 14,271.57 and 4,831.83 is: 7,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.50 : 14,271.57 = 4,831.83 : x
  2. Step 2: Convert to fraction form
    9,508.50/14,271.57 = 4,831.83/x
  3. Step 3: Cross multiply
    9,508.50x = 14,271.57 × 4,831.83
  4. Step 4: Simplify right side
    9,508.50x = 68,957,800.07
  5. Step 5: Solve for x
    x = 68,957,800.07/9,508.50
  6. Step 6: Final answer
    x = 7,252.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.