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Finding the Fourth Proportional to 9,188.16, 13,774.56 and 6,406.68

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Solution

The fourth proportional to 9,188.16, 13,774.56 and 6,406.68 is: 9,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.16 : 13,774.56 = 6,406.68 : x
  2. Step 2: Convert to fraction form
    9,188.16/13,774.56 = 6,406.68/x
  3. Step 3: Cross multiply
    9,188.16x = 13,774.56 × 6,406.68
  4. Step 4: Simplify right side
    9,188.16x = 88,249,198.06
  5. Step 5: Solve for x
    x = 88,249,198.06/9,188.16
  6. Step 6: Final answer
    x = 9,604.66

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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.