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Finding the Fourth Proportional to 6,334.25, 9,501.53 and 1,951.74

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Solution

The fourth proportional to 6,334.25, 9,501.53 and 1,951.74 is: 2,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.25 : 9,501.53 = 1,951.74 : x
  2. Step 2: Convert to fraction form
    6,334.25/9,501.53 = 1,951.74/x
  3. Step 3: Cross multiply
    6,334.25x = 9,501.53 × 1,951.74
  4. Step 4: Simplify right side
    6,334.25x = 18,544,506.40
  5. Step 5: Solve for x
    x = 18,544,506.40/6,334.25
  6. Step 6: Final answer
    x = 2,927.66

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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.