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Finding the Fourth Proportional to 6,071.63, 9,117.56 and 5,617.01

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Solution

The fourth proportional to 6,071.63, 9,117.56 and 5,617.01 is: 8,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.63 : 9,117.56 = 5,617.01 : x
  2. Step 2: Convert to fraction form
    6,071.63/9,117.56 = 5,617.01/x
  3. Step 3: Cross multiply
    6,071.63x = 9,117.56 × 5,617.01
  4. Step 4: Simplify right side
    6,071.63x = 51,213,462.53
  5. Step 5: Solve for x
    x = 51,213,462.53/6,071.63
  6. Step 6: Final answer
    x = 8,434.89

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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.