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Finding the Fourth Proportional to 6,210.72, 9,320.40 and 4,014

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Solution

The fourth proportional to 6,210.72, 9,320.40 and 4,014 is: 6,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.72 : 9,320.40 = 4,014 : x
  2. Step 2: Convert to fraction form
    6,210.72/9,320.40 = 4,014/x
  3. Step 3: Cross multiply
    6,210.72x = 9,320.40 × 4,014
  4. Step 4: Simplify right side
    6,210.72x = 37,412,085.60
  5. Step 5: Solve for x
    x = 37,412,085.60/6,210.72
  6. Step 6: Final answer
    x = 6,023.79

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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.