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Finding the Fourth Proportional to 7,029.34, 9,700.45 and 3,885.51

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Solution

The fourth proportional to 7,029.34, 9,700.45 and 3,885.51 is: 5,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.34 : 9,700.45 = 3,885.51 : x
  2. Step 2: Convert to fraction form
    7,029.34/9,700.45 = 3,885.51/x
  3. Step 3: Cross multiply
    7,029.34x = 9,700.45 × 3,885.51
  4. Step 4: Simplify right side
    7,029.34x = 37,691,195.48
  5. Step 5: Solve for x
    x = 37,691,195.48/7,029.34
  6. Step 6: Final answer
    x = 5,361.98

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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.