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Finding the Fourth Proportional to 9,411.03, 12,986.32 and 5,634.12

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Solution

The fourth proportional to 9,411.03, 12,986.32 and 5,634.12 is: 7,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.03 : 12,986.32 = 5,634.12 : x
  2. Step 2: Convert to fraction form
    9,411.03/12,986.32 = 5,634.12/x
  3. Step 3: Cross multiply
    9,411.03x = 12,986.32 × 5,634.12
  4. Step 4: Simplify right side
    9,411.03x = 73,166,503.62
  5. Step 5: Solve for x
    x = 73,166,503.62/9,411.03
  6. Step 6: Final answer
    x = 7,774.55

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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.