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Finding the Fourth Proportional to 7,029.42, 9,701.01 and 3,885.90

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Solution

The fourth proportional to 7,029.42, 9,701.01 and 3,885.90 is: 5,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.42 : 9,701.01 = 3,885.90 : x
  2. Step 2: Convert to fraction form
    7,029.42/9,701.01 = 3,885.90/x
  3. Step 3: Cross multiply
    7,029.42x = 9,701.01 × 3,885.90
  4. Step 4: Simplify right side
    7,029.42x = 37,697,154.76
  5. Step 5: Solve for x
    x = 37,697,154.76/7,029.42
  6. Step 6: Final answer
    x = 5,362.77

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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.