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Finding the Fourth Proportional to 7,029.86, 9,700.97 and 3,885.98

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Solution

The fourth proportional to 7,029.86, 9,700.97 and 3,885.98 is: 5,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.86 : 9,700.97 = 3,885.98 : x
  2. Step 2: Convert to fraction form
    7,029.86/9,700.97 = 3,885.98/x
  3. Step 3: Cross multiply
    7,029.86x = 9,700.97 × 3,885.98
  4. Step 4: Simplify right side
    7,029.86x = 37,697,707.47
  5. Step 5: Solve for x
    x = 37,697,707.47/7,029.86
  6. Step 6: Final answer
    x = 5,362.52

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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.