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Finding the Fourth Proportional to 9,444.60, 14,101.02 and 8,511.48

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Solution

The fourth proportional to 9,444.60, 14,101.02 and 8,511.48 is: 12,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.60 : 14,101.02 = 8,511.48 : x
  2. Step 2: Convert to fraction form
    9,444.60/14,101.02 = 8,511.48/x
  3. Step 3: Cross multiply
    9,444.60x = 14,101.02 × 8,511.48
  4. Step 4: Simplify right side
    9,444.60x = 120,020,549.71
  5. Step 5: Solve for x
    x = 120,020,549.71/9,444.60
  6. Step 6: Final answer
    x = 12,707.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.