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Finding the Fourth Proportional to 6,457.35, 8,909.76 and 4,222.51

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Solution

The fourth proportional to 6,457.35, 8,909.76 and 4,222.51 is: 5,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.35 : 8,909.76 = 4,222.51 : x
  2. Step 2: Convert to fraction form
    6,457.35/8,909.76 = 4,222.51/x
  3. Step 3: Cross multiply
    6,457.35x = 8,909.76 × 4,222.51
  4. Step 4: Simplify right side
    6,457.35x = 37,621,550.70
  5. Step 5: Solve for x
    x = 37,621,550.70/6,457.35
  6. Step 6: Final answer
    x = 5,826.16

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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.