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Finding the Fourth Proportional to 6,465.86, 8,926.26 and 4,352.49

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Solution

The fourth proportional to 6,465.86, 8,926.26 and 4,352.49 is: 6,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.86 : 8,926.26 = 4,352.49 : x
  2. Step 2: Convert to fraction form
    6,465.86/8,926.26 = 4,352.49/x
  3. Step 3: Cross multiply
    6,465.86x = 8,926.26 × 4,352.49
  4. Step 4: Simplify right side
    6,465.86x = 38,851,457.39
  5. Step 5: Solve for x
    x = 38,851,457.39/6,465.86
  6. Step 6: Final answer
    x = 6,008.71

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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.