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Finding the Fourth Proportional to 9,376.73, 14,058.09 and 5,678.06

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Solution

The fourth proportional to 9,376.73, 14,058.09 and 5,678.06 is: 8,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.73 : 14,058.09 = 5,678.06 : x
  2. Step 2: Convert to fraction form
    9,376.73/14,058.09 = 5,678.06/x
  3. Step 3: Cross multiply
    9,376.73x = 14,058.09 × 5,678.06
  4. Step 4: Simplify right side
    9,376.73x = 79,822,678.51
  5. Step 5: Solve for x
    x = 79,822,678.51/9,376.73
  6. Step 6: Final answer
    x = 8,512.85

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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.