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Finding the Fourth Proportional to 9,635.86, 14,452.74 and 6,535.78

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Solution

The fourth proportional to 9,635.86, 14,452.74 and 6,535.78 is: 9,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.86 : 14,452.74 = 6,535.78 : x
  2. Step 2: Convert to fraction form
    9,635.86/14,452.74 = 6,535.78/x
  3. Step 3: Cross multiply
    9,635.86x = 14,452.74 × 6,535.78
  4. Step 4: Simplify right side
    9,635.86x = 94,459,929.04
  5. Step 5: Solve for x
    x = 94,459,929.04/9,635.86
  6. Step 6: Final answer
    x = 9,802.96

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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.