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Finding the Fourth Proportional to 9,521.32, 13,143.54 and 7,164.04

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Solution

The fourth proportional to 9,521.32, 13,143.54 and 7,164.04 is: 9,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.32 : 13,143.54 = 7,164.04 : x
  2. Step 2: Convert to fraction form
    9,521.32/13,143.54 = 7,164.04/x
  3. Step 3: Cross multiply
    9,521.32x = 13,143.54 × 7,164.04
  4. Step 4: Simplify right side
    9,521.32x = 94,160,846.30
  5. Step 5: Solve for x
    x = 94,160,846.30/9,521.32
  6. Step 6: Final answer
    x = 9,889.47

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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.