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Finding the Fourth Proportional to 6,365.16, 9,539.10 and 4,052.52

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Solution

The fourth proportional to 6,365.16, 9,539.10 and 4,052.52 is: 6,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.16 : 9,539.10 = 4,052.52 : x
  2. Step 2: Convert to fraction form
    6,365.16/9,539.10 = 4,052.52/x
  3. Step 3: Cross multiply
    6,365.16x = 9,539.10 × 4,052.52
  4. Step 4: Simplify right side
    6,365.16x = 38,657,393.53
  5. Step 5: Solve for x
    x = 38,657,393.53/6,365.16
  6. Step 6: Final answer
    x = 6,073.28

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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.