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Finding the Fourth Proportional to 6,312.41, 9,462.57 and 2,362.59

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Solution

The fourth proportional to 6,312.41, 9,462.57 and 2,362.59 is: 3,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.41 : 9,462.57 = 2,362.59 : x
  2. Step 2: Convert to fraction form
    6,312.41/9,462.57 = 2,362.59/x
  3. Step 3: Cross multiply
    6,312.41x = 9,462.57 × 2,362.59
  4. Step 4: Simplify right side
    6,312.41x = 22,356,173.26
  5. Step 5: Solve for x
    x = 22,356,173.26/6,312.41
  6. Step 6: Final answer
    x = 3,541.63

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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.