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Finding the Fourth Proportional to 9,019.12, 13,533.54 and 6,827.32

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Solution

The fourth proportional to 9,019.12, 13,533.54 and 6,827.32 is: 10,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.12 : 13,533.54 = 6,827.32 : x
  2. Step 2: Convert to fraction form
    9,019.12/13,533.54 = 6,827.32/x
  3. Step 3: Cross multiply
    9,019.12x = 13,533.54 × 6,827.32
  4. Step 4: Simplify right side
    9,019.12x = 92,397,808.31
  5. Step 5: Solve for x
    x = 92,397,808.31/9,019.12
  6. Step 6: Final answer
    x = 10,244.66

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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.