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Finding the Fourth Proportional to 8,864.64, 12,237.48 and 6,211.08

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Solution

The fourth proportional to 8,864.64, 12,237.48 and 6,211.08 is: 8,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.64 : 12,237.48 = 6,211.08 : x
  2. Step 2: Convert to fraction form
    8,864.64/12,237.48 = 6,211.08/x
  3. Step 3: Cross multiply
    8,864.64x = 12,237.48 × 6,211.08
  4. Step 4: Simplify right side
    8,864.64x = 76,007,967.28
  5. Step 5: Solve for x
    x = 76,007,967.28/8,864.64
  6. Step 6: Final answer
    x = 8,574.29

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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.