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Finding the Fourth Proportional to 9,726.54, 13,423.63 and 5,952.21

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Solution

The fourth proportional to 9,726.54, 13,423.63 and 5,952.21 is: 8,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.54 : 13,423.63 = 5,952.21 : x
  2. Step 2: Convert to fraction form
    9,726.54/13,423.63 = 5,952.21/x
  3. Step 3: Cross multiply
    9,726.54x = 13,423.63 × 5,952.21
  4. Step 4: Simplify right side
    9,726.54x = 79,900,264.72
  5. Step 5: Solve for x
    x = 79,900,264.72/9,726.54
  6. Step 6: Final answer
    x = 8,214.66

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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.