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Finding the Fourth Proportional to 9,920.10, 13,688.28 and 6,388.08

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Solution

The fourth proportional to 9,920.10, 13,688.28 and 6,388.08 is: 8,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.10 : 13,688.28 = 6,388.08 : x
  2. Step 2: Convert to fraction form
    9,920.10/13,688.28 = 6,388.08/x
  3. Step 3: Cross multiply
    9,920.10x = 13,688.28 × 6,388.08
  4. Step 4: Simplify right side
    9,920.10x = 87,441,827.70
  5. Step 5: Solve for x
    x = 87,441,827.70/9,920.10
  6. Step 6: Final answer
    x = 8,814.61

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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.