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Finding the Fourth Proportional to 9,152.16, 12,632.07 and 5,175.60

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Solution

The fourth proportional to 9,152.16, 12,632.07 and 5,175.60 is: 7,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.16 : 12,632.07 = 5,175.60 : x
  2. Step 2: Convert to fraction form
    9,152.16/12,632.07 = 5,175.60/x
  3. Step 3: Cross multiply
    9,152.16x = 12,632.07 × 5,175.60
  4. Step 4: Simplify right side
    9,152.16x = 65,378,541.49
  5. Step 5: Solve for x
    x = 65,378,541.49/9,152.16
  6. Step 6: Final answer
    x = 7,143.51

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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.