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Finding the Fourth Proportional to 9,938.32, 13,709.64 and 6,214.48

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Solution

The fourth proportional to 9,938.32, 13,709.64 and 6,214.48 is: 8,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.32 : 13,709.64 = 6,214.48 : x
  2. Step 2: Convert to fraction form
    9,938.32/13,709.64 = 6,214.48/x
  3. Step 3: Cross multiply
    9,938.32x = 13,709.64 × 6,214.48
  4. Step 4: Simplify right side
    9,938.32x = 85,198,283.59
  5. Step 5: Solve for x
    x = 85,198,283.59/9,938.32
  6. Step 6: Final answer
    x = 8,572.70

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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.