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Finding the Fourth Proportional to 9,894.31, 13,654.32 and 6,117.37

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Solution

The fourth proportional to 9,894.31, 13,654.32 and 6,117.37 is: 8,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.31 : 13,654.32 = 6,117.37 : x
  2. Step 2: Convert to fraction form
    9,894.31/13,654.32 = 6,117.37/x
  3. Step 3: Cross multiply
    9,894.31x = 13,654.32 × 6,117.37
  4. Step 4: Simplify right side
    9,894.31x = 83,528,527.54
  5. Step 5: Solve for x
    x = 83,528,527.54/9,894.31
  6. Step 6: Final answer
    x = 8,442.08

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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.