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Finding the Fourth Proportional to 6,259.24, 9,386.94 and 4,323.88

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Solution

The fourth proportional to 6,259.24, 9,386.94 and 4,323.88 is: 6,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.24 : 9,386.94 = 4,323.88 : x
  2. Step 2: Convert to fraction form
    6,259.24/9,386.94 = 4,323.88/x
  3. Step 3: Cross multiply
    6,259.24x = 9,386.94 × 4,323.88
  4. Step 4: Simplify right side
    6,259.24x = 40,588,002.13
  5. Step 5: Solve for x
    x = 40,588,002.13/6,259.24
  6. Step 6: Final answer
    x = 6,484.49

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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.