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Finding the Fourth Proportional to 9,758.57, 13,465.91 and 5,508.50

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Solution

The fourth proportional to 9,758.57, 13,465.91 and 5,508.50 is: 7,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.57 : 13,465.91 = 5,508.50 : x
  2. Step 2: Convert to fraction form
    9,758.57/13,465.91 = 5,508.50/x
  3. Step 3: Cross multiply
    9,758.57x = 13,465.91 × 5,508.50
  4. Step 4: Simplify right side
    9,758.57x = 74,176,911.68
  5. Step 5: Solve for x
    x = 74,176,911.68/9,758.57
  6. Step 6: Final answer
    x = 7,601.21

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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.