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Finding the Fourth Proportional to 9,887.76, 14,831.62 and 3,967.31

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Solution

The fourth proportional to 9,887.76, 14,831.62 and 3,967.31 is: 5,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.76 : 14,831.62 = 3,967.31 : x
  2. Step 2: Convert to fraction form
    9,887.76/14,831.62 = 3,967.31/x
  3. Step 3: Cross multiply
    9,887.76x = 14,831.62 × 3,967.31
  4. Step 4: Simplify right side
    9,887.76x = 58,841,661.50
  5. Step 5: Solve for x
    x = 58,841,661.50/9,887.76
  6. Step 6: Final answer
    x = 5,950.96

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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.