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Finding the Fourth Proportional to 9,831.22, 13,580.06 and 7,284.15

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Solution

The fourth proportional to 9,831.22, 13,580.06 and 7,284.15 is: 10,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.22 : 13,580.06 = 7,284.15 : x
  2. Step 2: Convert to fraction form
    9,831.22/13,580.06 = 7,284.15/x
  3. Step 3: Cross multiply
    9,831.22x = 13,580.06 × 7,284.15
  4. Step 4: Simplify right side
    9,831.22x = 98,919,212.26
  5. Step 5: Solve for x
    x = 98,919,212.26/9,831.22
  6. Step 6: Final answer
    x = 10,061.75

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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.