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Finding the Fourth Proportional to 6,846.47, 9,453.53 and 4,457.57

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Solution

The fourth proportional to 6,846.47, 9,453.53 and 4,457.57 is: 6,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.47 : 9,453.53 = 4,457.57 : x
  2. Step 2: Convert to fraction form
    6,846.47/9,453.53 = 4,457.57/x
  3. Step 3: Cross multiply
    6,846.47x = 9,453.53 × 4,457.57
  4. Step 4: Simplify right side
    6,846.47x = 42,139,806.50
  5. Step 5: Solve for x
    x = 42,139,806.50/6,846.47
  6. Step 6: Final answer
    x = 6,154.97

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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.