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Finding the Fourth Proportional to 9,699.27, 14,551.35 and 3,856.35

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Solution

The fourth proportional to 9,699.27, 14,551.35 and 3,856.35 is: 5,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.27 : 14,551.35 = 3,856.35 : x
  2. Step 2: Convert to fraction form
    9,699.27/14,551.35 = 3,856.35/x
  3. Step 3: Cross multiply
    9,699.27x = 14,551.35 × 3,856.35
  4. Step 4: Simplify right side
    9,699.27x = 56,115,098.57
  5. Step 5: Solve for x
    x = 56,115,098.57/9,699.27
  6. Step 6: Final answer
    x = 5,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.