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Finding the Fourth Proportional to 9,636.80, 14,445.35 and 5,468.00

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Solution

The fourth proportional to 9,636.80, 14,445.35 and 5,468.00 is: 8,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.80 : 14,445.35 = 5,468.00 : x
  2. Step 2: Convert to fraction form
    9,636.80/14,445.35 = 5,468.00/x
  3. Step 3: Cross multiply
    9,636.80x = 14,445.35 × 5,468.00
  4. Step 4: Simplify right side
    9,636.80x = 78,987,099.67
  5. Step 5: Solve for x
    x = 78,987,099.67/9,636.80
  6. Step 6: Final answer
    x = 8,196.41

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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.