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Finding the Fourth Proportional to 9,774.56, 13,491.24 and 5,585.24

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Solution

The fourth proportional to 9,774.56, 13,491.24 and 5,585.24 is: 7,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.56 : 13,491.24 = 5,585.24 : x
  2. Step 2: Convert to fraction form
    9,774.56/13,491.24 = 5,585.24/x
  3. Step 3: Cross multiply
    9,774.56x = 13,491.24 × 5,585.24
  4. Step 4: Simplify right side
    9,774.56x = 75,351,813.30
  5. Step 5: Solve for x
    x = 75,351,813.30/9,774.56
  6. Step 6: Final answer
    x = 7,708.97

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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.