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Finding the Fourth Proportional to 9,203.83, 12,702.95 and 5,426.77

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Solution

The fourth proportional to 9,203.83, 12,702.95 and 5,426.77 is: 7,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.83 : 12,702.95 = 5,426.77 : x
  2. Step 2: Convert to fraction form
    9,203.83/12,702.95 = 5,426.77/x
  3. Step 3: Cross multiply
    9,203.83x = 12,702.95 × 5,426.77
  4. Step 4: Simplify right side
    9,203.83x = 68,935,987.97
  5. Step 5: Solve for x
    x = 68,935,987.97/9,203.83
  6. Step 6: Final answer
    x = 7,489.92

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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.