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Finding the Fourth Proportional to 9,410.32, 12,984.08 and 6,054.28

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Solution

The fourth proportional to 9,410.32, 12,984.08 and 6,054.28 is: 8,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.32 : 12,984.08 = 6,054.28 : x
  2. Step 2: Convert to fraction form
    9,410.32/12,984.08 = 6,054.28/x
  3. Step 3: Cross multiply
    9,410.32x = 12,984.08 × 6,054.28
  4. Step 4: Simplify right side
    9,410.32x = 78,609,255.86
  5. Step 5: Solve for x
    x = 78,609,255.86/9,410.32
  6. Step 6: Final answer
    x = 8,353.52

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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.