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Finding the Fourth Proportional to 9,301.48, 12,831.78 and 5,943.40

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Solution

The fourth proportional to 9,301.48, 12,831.78 and 5,943.40 is: 8,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.48 : 12,831.78 = 5,943.40 : x
  2. Step 2: Convert to fraction form
    9,301.48/12,831.78 = 5,943.40/x
  3. Step 3: Cross multiply
    9,301.48x = 12,831.78 × 5,943.40
  4. Step 4: Simplify right side
    9,301.48x = 76,264,401.25
  5. Step 5: Solve for x
    x = 76,264,401.25/9,301.48
  6. Step 6: Final answer
    x = 8,199.17

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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.