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Finding the Fourth Proportional to 9,138.11, 13,697.44 and 6,533.15

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Solution

The fourth proportional to 9,138.11, 13,697.44 and 6,533.15 is: 9,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.11 : 13,697.44 = 6,533.15 : x
  2. Step 2: Convert to fraction form
    9,138.11/13,697.44 = 6,533.15/x
  3. Step 3: Cross multiply
    9,138.11x = 13,697.44 × 6,533.15
  4. Step 4: Simplify right side
    9,138.11x = 89,487,345.32
  5. Step 5: Solve for x
    x = 89,487,345.32/9,138.11
  6. Step 6: Final answer
    x = 9,792.77

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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.