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Finding the Fourth Proportional to 6,263.44, 8,642.10 and 3,746.35

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Solution

The fourth proportional to 6,263.44, 8,642.10 and 3,746.35 is: 5,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.44 : 8,642.10 = 3,746.35 : x
  2. Step 2: Convert to fraction form
    6,263.44/8,642.10 = 3,746.35/x
  3. Step 3: Cross multiply
    6,263.44x = 8,642.10 × 3,746.35
  4. Step 4: Simplify right side
    6,263.44x = 32,376,331.34
  5. Step 5: Solve for x
    x = 32,376,331.34/6,263.44
  6. Step 6: Final answer
    x = 5,169.10

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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.