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Finding the Fourth Proportional to 7,070.26, 9,756.16 and 4,380.26

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Solution

The fourth proportional to 7,070.26, 9,756.16 and 4,380.26 is: 6,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.26 : 9,756.16 = 4,380.26 : x
  2. Step 2: Convert to fraction form
    7,070.26/9,756.16 = 4,380.26/x
  3. Step 3: Cross multiply
    7,070.26x = 9,756.16 × 4,380.26
  4. Step 4: Simplify right side
    7,070.26x = 42,734,517.40
  5. Step 5: Solve for x
    x = 42,734,517.40/7,070.26
  6. Step 6: Final answer
    x = 6,044.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.