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Finding the Fourth Proportional to 6,542.51, 9,031.50 and 4,552.34

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Solution

The fourth proportional to 6,542.51, 9,031.50 and 4,552.34 is: 6,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.51 : 9,031.50 = 4,552.34 : x
  2. Step 2: Convert to fraction form
    6,542.51/9,031.50 = 4,552.34/x
  3. Step 3: Cross multiply
    6,542.51x = 9,031.50 × 4,552.34
  4. Step 4: Simplify right side
    6,542.51x = 41,114,413.55
  5. Step 5: Solve for x
    x = 41,114,413.55/6,542.51
  6. Step 6: Final answer
    x = 6,284.20

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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.