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Finding the Fourth Proportional to 9,688.61, 14,540.21 and 6,561.20

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Solution

The fourth proportional to 9,688.61, 14,540.21 and 6,561.20 is: 9,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.61 : 14,540.21 = 6,561.20 : x
  2. Step 2: Convert to fraction form
    9,688.61/14,540.21 = 6,561.20/x
  3. Step 3: Cross multiply
    9,688.61x = 14,540.21 × 6,561.20
  4. Step 4: Simplify right side
    9,688.61x = 95,401,254.00
  5. Step 5: Solve for x
    x = 95,401,254.00/9,688.61
  6. Step 6: Final answer
    x = 9,846.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.