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Finding the Fourth Proportional to 9,809.50, 14,714.26 and 2,884

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Solution

The fourth proportional to 9,809.50, 14,714.26 and 2,884 is: 4,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.50 : 14,714.26 = 2,884 : x
  2. Step 2: Convert to fraction form
    9,809.50/14,714.26 = 2,884/x
  3. Step 3: Cross multiply
    9,809.50x = 14,714.26 × 2,884
  4. Step 4: Simplify right side
    9,809.50x = 42,435,925.84
  5. Step 5: Solve for x
    x = 42,435,925.84/9,809.50
  6. Step 6: Final answer
    x = 4,326.00

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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.