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Finding the Fourth Proportional to 6,098.31, 9,137.93 and 4,715.06

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Solution

The fourth proportional to 6,098.31, 9,137.93 and 4,715.06 is: 7,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.31 : 9,137.93 = 4,715.06 : x
  2. Step 2: Convert to fraction form
    6,098.31/9,137.93 = 4,715.06/x
  3. Step 3: Cross multiply
    6,098.31x = 9,137.93 × 4,715.06
  4. Step 4: Simplify right side
    6,098.31x = 43,085,818.96
  5. Step 5: Solve for x
    x = 43,085,818.96/6,098.31
  6. Step 6: Final answer
    x = 7,065.21

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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.