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Finding the Fourth Proportional to 6,070.17, 9,096.78 and 4,588.17

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Solution

The fourth proportional to 6,070.17, 9,096.78 and 4,588.17 is: 6,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.17 : 9,096.78 = 4,588.17 : x
  2. Step 2: Convert to fraction form
    6,070.17/9,096.78 = 4,588.17/x
  3. Step 3: Cross multiply
    6,070.17x = 9,096.78 × 4,588.17
  4. Step 4: Simplify right side
    6,070.17x = 41,737,573.09
  5. Step 5: Solve for x
    x = 41,737,573.09/6,070.17
  6. Step 6: Final answer
    x = 6,875.85

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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.