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Finding the Fourth Proportional to 6,742.90, 9,313.54 and 4,762.30

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Solution

The fourth proportional to 6,742.90, 9,313.54 and 4,762.30 is: 6,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.90 : 9,313.54 = 4,762.30 : x
  2. Step 2: Convert to fraction form
    6,742.90/9,313.54 = 4,762.30/x
  3. Step 3: Cross multiply
    6,742.90x = 9,313.54 × 4,762.30
  4. Step 4: Simplify right side
    6,742.90x = 44,353,871.54
  5. Step 5: Solve for x
    x = 44,353,871.54/6,742.90
  6. Step 6: Final answer
    x = 6,577.86

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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.