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Finding the Fourth Proportional to 9,565.50, 14,347.68 and 4,299.15

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Solution

The fourth proportional to 9,565.50, 14,347.68 and 4,299.15 is: 6,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.50 : 14,347.68 = 4,299.15 : x
  2. Step 2: Convert to fraction form
    9,565.50/14,347.68 = 4,299.15/x
  3. Step 3: Cross multiply
    9,565.50x = 14,347.68 × 4,299.15
  4. Step 4: Simplify right side
    9,565.50x = 61,682,828.47
  5. Step 5: Solve for x
    x = 61,682,828.47/9,565.50
  6. Step 6: Final answer
    x = 6,448.47

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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.