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Finding the Fourth Proportional to 9,095.64, 13,642.11 and 2,521.14

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Solution

The fourth proportional to 9,095.64, 13,642.11 and 2,521.14 is: 3,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.64 : 13,642.11 = 2,521.14 : x
  2. Step 2: Convert to fraction form
    9,095.64/13,642.11 = 2,521.14/x
  3. Step 3: Cross multiply
    9,095.64x = 13,642.11 × 2,521.14
  4. Step 4: Simplify right side
    9,095.64x = 34,393,669.21
  5. Step 5: Solve for x
    x = 34,393,669.21/9,095.64
  6. Step 6: Final answer
    x = 3,781.34

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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.