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Finding the Fourth Proportional to 8,906.32, 13,364.09 and 6,461.30

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Solution

The fourth proportional to 8,906.32, 13,364.09 and 6,461.30 is: 9,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.32 : 13,364.09 = 6,461.30 : x
  2. Step 2: Convert to fraction form
    8,906.32/13,364.09 = 6,461.30/x
  3. Step 3: Cross multiply
    8,906.32x = 13,364.09 × 6,461.30
  4. Step 4: Simplify right side
    8,906.32x = 86,349,420.05
  5. Step 5: Solve for x
    x = 86,349,420.05/8,906.32
  6. Step 6: Final answer
    x = 9,695.30

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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.