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Finding the Fourth Proportional to 9,490.29, 14,231.79 and 6,559.71

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Solution

The fourth proportional to 9,490.29, 14,231.79 and 6,559.71 is: 9,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.29 : 14,231.79 = 6,559.71 : x
  2. Step 2: Convert to fraction form
    9,490.29/14,231.79 = 6,559.71/x
  3. Step 3: Cross multiply
    9,490.29x = 14,231.79 × 6,559.71
  4. Step 4: Simplify right side
    9,490.29x = 93,356,415.18
  5. Step 5: Solve for x
    x = 93,356,415.18/9,490.29
  6. Step 6: Final answer
    x = 9,837.05

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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.