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Finding the Fourth Proportional to 9,657.25, 14,491.35 and 5,214.86

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Solution

The fourth proportional to 9,657.25, 14,491.35 and 5,214.86 is: 7,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.25 : 14,491.35 = 5,214.86 : x
  2. Step 2: Convert to fraction form
    9,657.25/14,491.35 = 5,214.86/x
  3. Step 3: Cross multiply
    9,657.25x = 14,491.35 × 5,214.86
  4. Step 4: Simplify right side
    9,657.25x = 75,570,343.35
  5. Step 5: Solve for x
    x = 75,570,343.35/9,657.25
  6. Step 6: Final answer
    x = 7,825.25

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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.