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Finding the Fourth Proportional to 9,608.16, 13,257 and 5,831.24

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Solution

The fourth proportional to 9,608.16, 13,257 and 5,831.24 is: 8,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.16 : 13,257 = 5,831.24 : x
  2. Step 2: Convert to fraction form
    9,608.16/13,257 = 5,831.24/x
  3. Step 3: Cross multiply
    9,608.16x = 13,257 × 5,831.24
  4. Step 4: Simplify right side
    9,608.16x = 77,304,748.68
  5. Step 5: Solve for x
    x = 77,304,748.68/9,608.16
  6. Step 6: Final answer
    x = 8,045.74

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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.