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Finding the Fourth Proportional to 9,466.83, 13,069.44 and 5,690.91

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Solution

The fourth proportional to 9,466.83, 13,069.44 and 5,690.91 is: 7,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.83 : 13,069.44 = 5,690.91 : x
  2. Step 2: Convert to fraction form
    9,466.83/13,069.44 = 5,690.91/x
  3. Step 3: Cross multiply
    9,466.83x = 13,069.44 × 5,690.91
  4. Step 4: Simplify right side
    9,466.83x = 74,377,006.79
  5. Step 5: Solve for x
    x = 74,377,006.79/9,466.83
  6. Step 6: Final answer
    x = 7,856.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.