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Finding the Fourth Proportional to 6,171.68, 9,256.99 and 4,995.26

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Solution

The fourth proportional to 6,171.68, 9,256.99 and 4,995.26 is: 7,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.68 : 9,256.99 = 4,995.26 : x
  2. Step 2: Convert to fraction form
    6,171.68/9,256.99 = 4,995.26/x
  3. Step 3: Cross multiply
    6,171.68x = 9,256.99 × 4,995.26
  4. Step 4: Simplify right side
    6,171.68x = 46,241,047.81
  5. Step 5: Solve for x
    x = 46,241,047.81/6,171.68
  6. Step 6: Final answer
    x = 7,492.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.