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Finding the Fourth Proportional to 9,933.16, 13,702.62 and 6,746.62

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Solution

The fourth proportional to 9,933.16, 13,702.62 and 6,746.62 is: 9,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.16 : 13,702.62 = 6,746.62 : x
  2. Step 2: Convert to fraction form
    9,933.16/13,702.62 = 6,746.62/x
  3. Step 3: Cross multiply
    9,933.16x = 13,702.62 × 6,746.62
  4. Step 4: Simplify right side
    9,933.16x = 92,446,370.14
  5. Step 5: Solve for x
    x = 92,446,370.14/9,933.16
  6. Step 6: Final answer
    x = 9,306.84

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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.