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Finding the Fourth Proportional to 9,016.84, 12,430.69 and 7,771.15

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Solution

The fourth proportional to 9,016.84, 12,430.69 and 7,771.15 is: 10,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.84 : 12,430.69 = 7,771.15 : x
  2. Step 2: Convert to fraction form
    9,016.84/12,430.69 = 7,771.15/x
  3. Step 3: Cross multiply
    9,016.84x = 12,430.69 × 7,771.15
  4. Step 4: Simplify right side
    9,016.84x = 96,600,756.59
  5. Step 5: Solve for x
    x = 96,600,756.59/9,016.84
  6. Step 6: Final answer
    x = 10,713.37

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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.