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Finding the Fourth Proportional to 9,808.16, 14,718.71 and 5,856.50

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Solution

The fourth proportional to 9,808.16, 14,718.71 and 5,856.50 is: 8,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.16 : 14,718.71 = 5,856.50 : x
  2. Step 2: Convert to fraction form
    9,808.16/14,718.71 = 5,856.50/x
  3. Step 3: Cross multiply
    9,808.16x = 14,718.71 × 5,856.50
  4. Step 4: Simplify right side
    9,808.16x = 86,200,176.55
  5. Step 5: Solve for x
    x = 86,200,176.55/9,808.16
  6. Step 6: Final answer
    x = 8,788.62

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Why These Related Problems?

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