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Finding the Fourth Proportional to 9,154.12, 12,632.88 and 5,175.00

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Solution

The fourth proportional to 9,154.12, 12,632.88 and 5,175.00 is: 7,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.12 : 12,632.88 = 5,175.00 : x
  2. Step 2: Convert to fraction form
    9,154.12/12,632.88 = 5,175.00/x
  3. Step 3: Cross multiply
    9,154.12x = 12,632.88 × 5,175.00
  4. Step 4: Simplify right side
    9,154.12x = 65,375,090.84
  5. Step 5: Solve for x
    x = 65,375,090.84/9,154.12
  6. Step 6: Final answer
    x = 7,141.60

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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.