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Finding the Fourth Proportional to 6,274.22, 8,655.64 and 4,035.68

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Solution

The fourth proportional to 6,274.22, 8,655.64 and 4,035.68 is: 5,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.22 : 8,655.64 = 4,035.68 : x
  2. Step 2: Convert to fraction form
    6,274.22/8,655.64 = 4,035.68/x
  3. Step 3: Cross multiply
    6,274.22x = 8,655.64 × 4,035.68
  4. Step 4: Simplify right side
    6,274.22x = 34,931,393.24
  5. Step 5: Solve for x
    x = 34,931,393.24/6,274.22
  6. Step 6: Final answer
    x = 5,567.45

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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.