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Finding the Fourth Proportional to 6,416.02, 8,854.04 and 3,762.92

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Solution

The fourth proportional to 6,416.02, 8,854.04 and 3,762.92 is: 5,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.02 : 8,854.04 = 3,762.92 : x
  2. Step 2: Convert to fraction form
    6,416.02/8,854.04 = 3,762.92/x
  3. Step 3: Cross multiply
    6,416.02x = 8,854.04 × 3,762.92
  4. Step 4: Simplify right side
    6,416.02x = 33,317,075.74
  5. Step 5: Solve for x
    x = 33,317,075.74/6,416.02
  6. Step 6: Final answer
    x = 5,192.79

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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.