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Finding the Fourth Proportional to 9,831.32, 13,555.43 and 8,032.13

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Solution

The fourth proportional to 9,831.32, 13,555.43 and 8,032.13 is: 11,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.32 : 13,555.43 = 8,032.13 : x
  2. Step 2: Convert to fraction form
    9,831.32/13,555.43 = 8,032.13/x
  3. Step 3: Cross multiply
    9,831.32x = 13,555.43 × 8,032.13
  4. Step 4: Simplify right side
    9,831.32x = 108,878,868.03
  5. Step 5: Solve for x
    x = 108,878,868.03/9,831.32
  6. Step 6: Final answer
    x = 11,074.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.