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Finding the Fourth Proportional to 9,986.22, 13,780.89 and 5,510.01

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Solution

The fourth proportional to 9,986.22, 13,780.89 and 5,510.01 is: 7,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.22 : 13,780.89 = 5,510.01 : x
  2. Step 2: Convert to fraction form
    9,986.22/13,780.89 = 5,510.01/x
  3. Step 3: Cross multiply
    9,986.22x = 13,780.89 × 5,510.01
  4. Step 4: Simplify right side
    9,986.22x = 75,932,841.71
  5. Step 5: Solve for x
    x = 75,932,841.71/9,986.22
  6. Step 6: Final answer
    x = 7,603.76

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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.