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Finding the Fourth Proportional to 9,153.78, 12,632.12 and 5,120.55

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Solution

The fourth proportional to 9,153.78, 12,632.12 and 5,120.55 is: 7,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.78 : 12,632.12 = 5,120.55 : x
  2. Step 2: Convert to fraction form
    9,153.78/12,632.12 = 5,120.55/x
  3. Step 3: Cross multiply
    9,153.78x = 12,632.12 × 5,120.55
  4. Step 4: Simplify right side
    9,153.78x = 64,683,376.46
  5. Step 5: Solve for x
    x = 64,683,376.46/9,153.78
  6. Step 6: Final answer
    x = 7,066.31

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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.