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Finding the Fourth Proportional to 9,758.16, 14,639.87 and 3,518.86

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Solution

The fourth proportional to 9,758.16, 14,639.87 and 3,518.86 is: 5,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.16 : 14,639.87 = 3,518.86 : x
  2. Step 2: Convert to fraction form
    9,758.16/14,639.87 = 3,518.86/x
  3. Step 3: Cross multiply
    9,758.16x = 14,639.87 × 3,518.86
  4. Step 4: Simplify right side
    9,758.16x = 51,515,661.75
  5. Step 5: Solve for x
    x = 51,515,661.75/9,758.16
  6. Step 6: Final answer
    x = 5,279.24

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