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Finding the Fourth Proportional to 9,758.19, 14,645.48 and 4,215.69

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Solution

The fourth proportional to 9,758.19, 14,645.48 and 4,215.69 is: 6,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.19 : 14,645.48 = 4,215.69 : x
  2. Step 2: Convert to fraction form
    9,758.19/14,645.48 = 4,215.69/x
  3. Step 3: Cross multiply
    9,758.19x = 14,645.48 × 4,215.69
  4. Step 4: Simplify right side
    9,758.19x = 61,740,782.50
  5. Step 5: Solve for x
    x = 61,740,782.50/9,758.19
  6. Step 6: Final answer
    x = 6,327.07

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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.