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Finding the Fourth Proportional to 9,650.64, 14,484.26 and 5,498.99

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Solution

The fourth proportional to 9,650.64, 14,484.26 and 5,498.99 is: 8,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.64 : 14,484.26 = 5,498.99 : x
  2. Step 2: Convert to fraction form
    9,650.64/14,484.26 = 5,498.99/x
  3. Step 3: Cross multiply
    9,650.64x = 14,484.26 × 5,498.99
  4. Step 4: Simplify right side
    9,650.64x = 79,648,728.48
  5. Step 5: Solve for x
    x = 79,648,728.48/9,650.64
  6. Step 6: Final answer
    x = 8,253.21

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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.