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Finding the Fourth Proportional to 9,730.62, 14,593.77 and 3,885.66

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Solution

The fourth proportional to 9,730.62, 14,593.77 and 3,885.66 is: 5,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.62 : 14,593.77 = 3,885.66 : x
  2. Step 2: Convert to fraction form
    9,730.62/14,593.77 = 3,885.66/x
  3. Step 3: Cross multiply
    9,730.62x = 14,593.77 × 3,885.66
  4. Step 4: Simplify right side
    9,730.62x = 56,706,428.34
  5. Step 5: Solve for x
    x = 56,706,428.34/9,730.62
  6. Step 6: Final answer
    x = 5,827.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.