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Finding the Fourth Proportional to 6,070.63, 9,106.95 and 2,122.99

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Solution

The fourth proportional to 6,070.63, 9,106.95 and 2,122.99 is: 3,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.63 : 9,106.95 = 2,122.99 : x
  2. Step 2: Convert to fraction form
    6,070.63/9,106.95 = 2,122.99/x
  3. Step 3: Cross multiply
    6,070.63x = 9,106.95 × 2,122.99
  4. Step 4: Simplify right side
    6,070.63x = 19,333,918.25
  5. Step 5: Solve for x
    x = 19,333,918.25/6,070.63
  6. Step 6: Final answer
    x = 3,184.83

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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.