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Finding the Fourth Proportional to 9,521.64, 13,110.12 and 7,837.65

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Solution

The fourth proportional to 9,521.64, 13,110.12 and 7,837.65 is: 10,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.64 : 13,110.12 = 7,837.65 : x
  2. Step 2: Convert to fraction form
    9,521.64/13,110.12 = 7,837.65/x
  3. Step 3: Cross multiply
    9,521.64x = 13,110.12 × 7,837.65
  4. Step 4: Simplify right side
    9,521.64x = 102,752,532.02
  5. Step 5: Solve for x
    x = 102,752,532.02/9,521.64
  6. Step 6: Final answer
    x = 10,791.47

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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.