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Finding the Fourth Proportional to 6,415.96, 9,623.32 and 4,349.25

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Solution

The fourth proportional to 6,415.96, 9,623.32 and 4,349.25 is: 6,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.96 : 9,623.32 = 4,349.25 : x
  2. Step 2: Convert to fraction form
    6,415.96/9,623.32 = 4,349.25/x
  3. Step 3: Cross multiply
    6,415.96x = 9,623.32 × 4,349.25
  4. Step 4: Simplify right side
    6,415.96x = 41,854,224.51
  5. Step 5: Solve for x
    x = 41,854,224.51/6,415.96
  6. Step 6: Final answer
    x = 6,523.45

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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.