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Finding the Fourth Proportional to 9,266.11, 12,774.85 and 7,666.86

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Solution

The fourth proportional to 9,266.11, 12,774.85 and 7,666.86 is: 10,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.11 : 12,774.85 = 7,666.86 : x
  2. Step 2: Convert to fraction form
    9,266.11/12,774.85 = 7,666.86/x
  3. Step 3: Cross multiply
    9,266.11x = 12,774.85 × 7,666.86
  4. Step 4: Simplify right side
    9,266.11x = 97,943,015.21
  5. Step 5: Solve for x
    x = 97,943,015.21/9,266.11
  6. Step 6: Final answer
    x = 10,570.03

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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.