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Finding the Fourth Proportional to 9,987.91, 13,788.84 and 6,010

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Solution

The fourth proportional to 9,987.91, 13,788.84 and 6,010 is: 8,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.91 : 13,788.84 = 6,010 : x
  2. Step 2: Convert to fraction form
    9,987.91/13,788.84 = 6,010/x
  3. Step 3: Cross multiply
    9,987.91x = 13,788.84 × 6,010
  4. Step 4: Simplify right side
    9,987.91x = 82,870,928.40
  5. Step 5: Solve for x
    x = 82,870,928.40/9,987.91
  6. Step 6: Final answer
    x = 8,297.12

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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.