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Finding the Fourth Proportional to 9,758.75, 14,646.32 and 4,216.32

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Solution

The fourth proportional to 9,758.75, 14,646.32 and 4,216.32 is: 6,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.75 : 14,646.32 = 4,216.32 : x
  2. Step 2: Convert to fraction form
    9,758.75/14,646.32 = 4,216.32/x
  3. Step 3: Cross multiply
    9,758.75x = 14,646.32 × 4,216.32
  4. Step 4: Simplify right side
    9,758.75x = 61,753,566.67
  5. Step 5: Solve for x
    x = 61,753,566.67/9,758.75
  6. Step 6: Final answer
    x = 6,328.02

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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.