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Finding the Fourth Proportional to 6,592.50, 9,101.70 and 4,238.78

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Solution

The fourth proportional to 6,592.50, 9,101.70 and 4,238.78 is: 5,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.50 : 9,101.70 = 4,238.78 : x
  2. Step 2: Convert to fraction form
    6,592.50/9,101.70 = 4,238.78/x
  3. Step 3: Cross multiply
    6,592.50x = 9,101.70 × 4,238.78
  4. Step 4: Simplify right side
    6,592.50x = 38,580,058.42
  5. Step 5: Solve for x
    x = 38,580,058.42/6,592.50
  6. Step 6: Final answer
    x = 5,852.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.