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Finding the Fourth Proportional to 9,237.27, 12,730.95 and 6,993.77

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Solution

The fourth proportional to 9,237.27, 12,730.95 and 6,993.77 is: 9,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.27 : 12,730.95 = 6,993.77 : x
  2. Step 2: Convert to fraction form
    9,237.27/12,730.95 = 6,993.77/x
  3. Step 3: Cross multiply
    9,237.27x = 12,730.95 × 6,993.77
  4. Step 4: Simplify right side
    9,237.27x = 89,037,336.18
  5. Step 5: Solve for x
    x = 89,037,336.18/9,237.27
  6. Step 6: Final answer
    x = 9,638.92

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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.