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Finding the Fourth Proportional to 9,159.46, 13,728.54 and 4,218.72

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Solution

The fourth proportional to 9,159.46, 13,728.54 and 4,218.72 is: 6,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.46 : 13,728.54 = 4,218.72 : x
  2. Step 2: Convert to fraction form
    9,159.46/13,728.54 = 4,218.72/x
  3. Step 3: Cross multiply
    9,159.46x = 13,728.54 × 4,218.72
  4. Step 4: Simplify right side
    9,159.46x = 57,916,866.27
  5. Step 5: Solve for x
    x = 57,916,866.27/9,159.46
  6. Step 6: Final answer
    x = 6,323.17

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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.