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Finding the Fourth Proportional to 9,774.56, 13,488.90 and 5,298.32

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Solution

The fourth proportional to 9,774.56, 13,488.90 and 5,298.32 is: 7,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.56 : 13,488.90 = 5,298.32 : x
  2. Step 2: Convert to fraction form
    9,774.56/13,488.90 = 5,298.32/x
  3. Step 3: Cross multiply
    9,774.56x = 13,488.90 × 5,298.32
  4. Step 4: Simplify right side
    9,774.56x = 71,468,508.65
  5. Step 5: Solve for x
    x = 71,468,508.65/9,774.56
  6. Step 6: Final answer
    x = 7,311.69

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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.