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Finding the Fourth Proportional to 9,831.71, 13,567.84 and 5,852.05

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Solution

The fourth proportional to 9,831.71, 13,567.84 and 5,852.05 is: 8,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.71 : 13,567.84 = 5,852.05 : x
  2. Step 2: Convert to fraction form
    9,831.71/13,567.84 = 5,852.05/x
  3. Step 3: Cross multiply
    9,831.71x = 13,567.84 × 5,852.05
  4. Step 4: Simplify right side
    9,831.71x = 79,399,629.52
  5. Step 5: Solve for x
    x = 79,399,629.52/9,831.71
  6. Step 6: Final answer
    x = 8,075.87

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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.