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Finding the Fourth Proportional to 6,152.34, 9,209.66 and 4,971.36

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Solution

The fourth proportional to 6,152.34, 9,209.66 and 4,971.36 is: 7,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.34 : 9,209.66 = 4,971.36 : x
  2. Step 2: Convert to fraction form
    6,152.34/9,209.66 = 4,971.36/x
  3. Step 3: Cross multiply
    6,152.34x = 9,209.66 × 4,971.36
  4. Step 4: Simplify right side
    6,152.34x = 45,784,535.34
  5. Step 5: Solve for x
    x = 45,784,535.34/6,152.34
  6. Step 6: Final answer
    x = 7,441.81

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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.