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Finding the Fourth Proportional to 9,856.54, 13,585.83 and 6,986.23

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Solution

The fourth proportional to 9,856.54, 13,585.83 and 6,986.23 is: 9,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.54 : 13,585.83 = 6,986.23 : x
  2. Step 2: Convert to fraction form
    9,856.54/13,585.83 = 6,986.23/x
  3. Step 3: Cross multiply
    9,856.54x = 13,585.83 × 6,986.23
  4. Step 4: Simplify right side
    9,856.54x = 94,913,749.38
  5. Step 5: Solve for x
    x = 94,913,749.38/9,856.54
  6. Step 6: Final answer
    x = 9,629.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.