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Finding the Fourth Proportional to 9,831.94, 13,567.05 and 5,852.28

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Solution

The fourth proportional to 9,831.94, 13,567.05 and 5,852.28 is: 8,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.94 : 13,567.05 = 5,852.28 : x
  2. Step 2: Convert to fraction form
    9,831.94/13,567.05 = 5,852.28/x
  3. Step 3: Cross multiply
    9,831.94x = 13,567.05 × 5,852.28
  4. Step 4: Simplify right side
    9,831.94x = 79,398,175.37
  5. Step 5: Solve for x
    x = 79,398,175.37/9,831.94
  6. Step 6: Final answer
    x = 8,075.53

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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.