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Finding the Fourth Proportional to 9,113.05, 13,646.33 and 7,266.86

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Solution

The fourth proportional to 9,113.05, 13,646.33 and 7,266.86 is: 10,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.05 : 13,646.33 = 7,266.86 : x
  2. Step 2: Convert to fraction form
    9,113.05/13,646.33 = 7,266.86/x
  3. Step 3: Cross multiply
    9,113.05x = 13,646.33 × 7,266.86
  4. Step 4: Simplify right side
    9,113.05x = 99,165,865.06
  5. Step 5: Solve for x
    x = 99,165,865.06/9,113.05
  6. Step 6: Final answer
    x = 10,881.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.