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Finding the Fourth Proportional to 9,774.08, 13,488.19 and 5,297.94

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Solution

The fourth proportional to 9,774.08, 13,488.19 and 5,297.94 is: 7,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.08 : 13,488.19 = 5,297.94 : x
  2. Step 2: Convert to fraction form
    9,774.08/13,488.19 = 5,297.94/x
  3. Step 3: Cross multiply
    9,774.08x = 13,488.19 × 5,297.94
  4. Step 4: Simplify right side
    9,774.08x = 71,459,621.33
  5. Step 5: Solve for x
    x = 71,459,621.33/9,774.08
  6. Step 6: Final answer
    x = 7,311.14

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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.