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Finding the Fourth Proportional to 9,497.59, 13,107.50 and 6,305.24

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Solution

The fourth proportional to 9,497.59, 13,107.50 and 6,305.24 is: 8,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.59 : 13,107.50 = 6,305.24 : x
  2. Step 2: Convert to fraction form
    9,497.59/13,107.50 = 6,305.24/x
  3. Step 3: Cross multiply
    9,497.59x = 13,107.50 × 6,305.24
  4. Step 4: Simplify right side
    9,497.59x = 82,645,981.83
  5. Step 5: Solve for x
    x = 82,645,981.83/9,497.59
  6. Step 6: Final answer
    x = 8,701.79

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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.