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Finding the Fourth Proportional to 9,774.81, 14,661.54 and 4,224.29

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Solution

The fourth proportional to 9,774.81, 14,661.54 and 4,224.29 is: 6,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.81 : 14,661.54 = 4,224.29 : x
  2. Step 2: Convert to fraction form
    9,774.81/14,661.54 = 4,224.29/x
  3. Step 3: Cross multiply
    9,774.81x = 14,661.54 × 4,224.29
  4. Step 4: Simplify right side
    9,774.81x = 61,934,523.50
  5. Step 5: Solve for x
    x = 61,934,523.50/9,774.81
  6. Step 6: Final answer
    x = 6,336.14

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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.