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Finding the Fourth Proportional to 9,488.90, 13,094.41 and 5,297.06

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Solution

The fourth proportional to 9,488.90, 13,094.41 and 5,297.06 is: 7,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.90 : 13,094.41 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    9,488.90/13,094.41 = 5,297.06/x
  3. Step 3: Cross multiply
    9,488.90x = 13,094.41 × 5,297.06
  4. Step 4: Simplify right side
    9,488.90x = 69,361,875.43
  5. Step 5: Solve for x
    x = 69,361,875.43/9,488.90
  6. Step 6: Final answer
    x = 7,309.79

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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.