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Finding the Fourth Proportional to 9,649.02, 13,315.31 and 5,457.27

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Solution

The fourth proportional to 9,649.02, 13,315.31 and 5,457.27 is: 7,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.02 : 13,315.31 = 5,457.27 : x
  2. Step 2: Convert to fraction form
    9,649.02/13,315.31 = 5,457.27/x
  3. Step 3: Cross multiply
    9,649.02x = 13,315.31 × 5,457.27
  4. Step 4: Simplify right side
    9,649.02x = 72,665,214.52
  5. Step 5: Solve for x
    x = 72,665,214.52/9,649.02
  6. Step 6: Final answer
    x = 7,530.84

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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.