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Finding the Fourth Proportional to 7,029.94, 9,700.58 and 3,885.70

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Solution

The fourth proportional to 7,029.94, 9,700.58 and 3,885.70 is: 5,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.94 : 9,700.58 = 3,885.70 : x
  2. Step 2: Convert to fraction form
    7,029.94/9,700.58 = 3,885.70/x
  3. Step 3: Cross multiply
    7,029.94x = 9,700.58 × 3,885.70
  4. Step 4: Simplify right side
    7,029.94x = 37,693,543.71
  5. Step 5: Solve for x
    x = 37,693,543.71/7,029.94
  6. Step 6: Final answer
    x = 5,361.86

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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.