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Finding the Fourth Proportional to 9,831.84, 13,568.58 and 7,449.04

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Solution

The fourth proportional to 9,831.84, 13,568.58 and 7,449.04 is: 10,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.84 : 13,568.58 = 7,449.04 : x
  2. Step 2: Convert to fraction form
    9,831.84/13,568.58 = 7,449.04/x
  3. Step 3: Cross multiply
    9,831.84x = 13,568.58 × 7,449.04
  4. Step 4: Simplify right side
    9,831.84x = 101,072,895.16
  5. Step 5: Solve for x
    x = 101,072,895.16/9,831.84
  6. Step 6: Final answer
    x = 10,280.16

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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.