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Finding the Fourth Proportional to 6,417.37, 8,854.68 and 3,762.91

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Solution

The fourth proportional to 6,417.37, 8,854.68 and 3,762.91 is: 5,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.37 : 8,854.68 = 3,762.91 : x
  2. Step 2: Convert to fraction form
    6,417.37/8,854.68 = 3,762.91/x
  3. Step 3: Cross multiply
    6,417.37x = 8,854.68 × 3,762.91
  4. Step 4: Simplify right side
    6,417.37x = 33,319,363.92
  5. Step 5: Solve for x
    x = 33,319,363.92/6,417.37
  6. Step 6: Final answer
    x = 5,192.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.