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Finding the Fourth Proportional to 9,856.89, 14,776.16 and 3,615.30

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Solution

The fourth proportional to 9,856.89, 14,776.16 and 3,615.30 is: 5,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.89 : 14,776.16 = 3,615.30 : x
  2. Step 2: Convert to fraction form
    9,856.89/14,776.16 = 3,615.30/x
  3. Step 3: Cross multiply
    9,856.89x = 14,776.16 × 3,615.30
  4. Step 4: Simplify right side
    9,856.89x = 53,420,233.17
  5. Step 5: Solve for x
    x = 53,420,233.17/9,856.89
  6. Step 6: Final answer
    x = 5,419.58

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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.