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Finding the Fourth Proportional to 6,125.64, 8,457.34 and 4,214.68

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Solution

The fourth proportional to 6,125.64, 8,457.34 and 4,214.68 is: 5,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.64 : 8,457.34 = 4,214.68 : x
  2. Step 2: Convert to fraction form
    6,125.64/8,457.34 = 4,214.68/x
  3. Step 3: Cross multiply
    6,125.64x = 8,457.34 × 4,214.68
  4. Step 4: Simplify right side
    6,125.64x = 35,644,981.75
  5. Step 5: Solve for x
    x = 35,644,981.75/6,125.64
  6. Step 6: Final answer
    x = 5,818.98

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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.