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Finding the Fourth Proportional to 9,841.64, 14,746.02 and 6,914.70

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Solution

The fourth proportional to 9,841.64, 14,746.02 and 6,914.70 is: 10,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.64 : 14,746.02 = 6,914.70 : x
  2. Step 2: Convert to fraction form
    9,841.64/14,746.02 = 6,914.70/x
  3. Step 3: Cross multiply
    9,841.64x = 14,746.02 × 6,914.70
  4. Step 4: Simplify right side
    9,841.64x = 101,964,278.56
  5. Step 5: Solve for x
    x = 101,964,278.56/9,841.64
  6. Step 6: Final answer
    x = 10,360.50

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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.