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Finding the Fourth Proportional to 9,678.54, 14,490.44 and 6,159.84

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Solution

The fourth proportional to 9,678.54, 14,490.44 and 6,159.84 is: 9,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.54 : 14,490.44 = 6,159.84 : x
  2. Step 2: Convert to fraction form
    9,678.54/14,490.44 = 6,159.84/x
  3. Step 3: Cross multiply
    9,678.54x = 14,490.44 × 6,159.84
  4. Step 4: Simplify right side
    9,678.54x = 89,258,791.93
  5. Step 5: Solve for x
    x = 89,258,791.93/9,678.54
  6. Step 6: Final answer
    x = 9,222.34

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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.