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Finding the Fourth Proportional to 7,026.14, 9,700.56 and 4,377.44

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Solution

The fourth proportional to 7,026.14, 9,700.56 and 4,377.44 is: 6,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.14 : 9,700.56 = 4,377.44 : x
  2. Step 2: Convert to fraction form
    7,026.14/9,700.56 = 4,377.44/x
  3. Step 3: Cross multiply
    7,026.14x = 9,700.56 × 4,377.44
  4. Step 4: Simplify right side
    7,026.14x = 42,463,643.62
  5. Step 5: Solve for x
    x = 42,463,643.62/7,026.14
  6. Step 6: Final answer
    x = 6,043.66

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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.