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Finding the Fourth Proportional to 9,728.16, 14,589.18 and 3,152.82

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Solution

The fourth proportional to 9,728.16, 14,589.18 and 3,152.82 is: 4,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.16 : 14,589.18 = 3,152.82 : x
  2. Step 2: Convert to fraction form
    9,728.16/14,589.18 = 3,152.82/x
  3. Step 3: Cross multiply
    9,728.16x = 14,589.18 × 3,152.82
  4. Step 4: Simplify right side
    9,728.16x = 45,997,058.49
  5. Step 5: Solve for x
    x = 45,997,058.49/9,728.16
  6. Step 6: Final answer
    x = 4,728.24

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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.