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Finding the Fourth Proportional to 6,194.40, 9,270.01 and 5,070.84

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Solution

The fourth proportional to 6,194.40, 9,270.01 and 5,070.84 is: 7,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.40 : 9,270.01 = 5,070.84 : x
  2. Step 2: Convert to fraction form
    6,194.40/9,270.01 = 5,070.84/x
  3. Step 3: Cross multiply
    6,194.40x = 9,270.01 × 5,070.84
  4. Step 4: Simplify right side
    6,194.40x = 47,006,737.51
  5. Step 5: Solve for x
    x = 47,006,737.51/6,194.40
  6. Step 6: Final answer
    x = 7,588.59

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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.