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Finding the Fourth Proportional to 9,856.30, 13,606.72 and 7,613.14

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Solution

The fourth proportional to 9,856.30, 13,606.72 and 7,613.14 is: 10,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.30 : 13,606.72 = 7,613.14 : x
  2. Step 2: Convert to fraction form
    9,856.30/13,606.72 = 7,613.14/x
  3. Step 3: Cross multiply
    9,856.30x = 13,606.72 × 7,613.14
  4. Step 4: Simplify right side
    9,856.30x = 103,589,864.30
  5. Step 5: Solve for x
    x = 103,589,864.30/9,856.30
  6. Step 6: Final answer
    x = 10,510.02

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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.