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Finding the Fourth Proportional to 6,746.34, 9,310.14 and 3,762.25

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Solution

The fourth proportional to 6,746.34, 9,310.14 and 3,762.25 is: 5,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.34 : 9,310.14 = 3,762.25 : x
  2. Step 2: Convert to fraction form
    6,746.34/9,310.14 = 3,762.25/x
  3. Step 3: Cross multiply
    6,746.34x = 9,310.14 × 3,762.25
  4. Step 4: Simplify right side
    6,746.34x = 35,027,050.94
  5. Step 5: Solve for x
    x = 35,027,050.94/6,746.34
  6. Step 6: Final answer
    x = 5,192.01

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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.