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Finding the Fourth Proportional to 9,820.54, 13,552.23 and 6,468.22

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Solution

The fourth proportional to 9,820.54, 13,552.23 and 6,468.22 is: 8,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.54 : 13,552.23 = 6,468.22 : x
  2. Step 2: Convert to fraction form
    9,820.54/13,552.23 = 6,468.22/x
  3. Step 3: Cross multiply
    9,820.54x = 13,552.23 × 6,468.22
  4. Step 4: Simplify right side
    9,820.54x = 87,658,805.13
  5. Step 5: Solve for x
    x = 87,658,805.13/9,820.54
  6. Step 6: Final answer
    x = 8,926.07

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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.