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Finding the Fourth Proportional to 9,100.32, 13,632.38 and 7,013.06

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Solution

The fourth proportional to 9,100.32, 13,632.38 and 7,013.06 is: 10,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.32 : 13,632.38 = 7,013.06 : x
  2. Step 2: Convert to fraction form
    9,100.32/13,632.38 = 7,013.06/x
  3. Step 3: Cross multiply
    9,100.32x = 13,632.38 × 7,013.06
  4. Step 4: Simplify right side
    9,100.32x = 95,604,698.88
  5. Step 5: Solve for x
    x = 95,604,698.88/9,100.32
  6. Step 6: Final answer
    x = 10,505.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.