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Finding the Fourth Proportional to 9,831.84, 13,567.12 and 5,639.20

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Solution

The fourth proportional to 9,831.84, 13,567.12 and 5,639.20 is: 7,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.84 : 13,567.12 = 5,639.20 : x
  2. Step 2: Convert to fraction form
    9,831.84/13,567.12 = 5,639.20/x
  3. Step 3: Cross multiply
    9,831.84x = 13,567.12 × 5,639.20
  4. Step 4: Simplify right side
    9,831.84x = 76,507,703.10
  5. Step 5: Solve for x
    x = 76,507,703.10/9,831.84
  6. Step 6: Final answer
    x = 7,781.63

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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.