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Finding the Fourth Proportional to 9,815.02, 14,714.26 and 4,264.20

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Solution

The fourth proportional to 9,815.02, 14,714.26 and 4,264.20 is: 6,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.02 : 14,714.26 = 4,264.20 : x
  2. Step 2: Convert to fraction form
    9,815.02/14,714.26 = 4,264.20/x
  3. Step 3: Cross multiply
    9,815.02x = 14,714.26 × 4,264.20
  4. Step 4: Simplify right side
    9,815.02x = 62,744,547.49
  5. Step 5: Solve for x
    x = 62,744,547.49/9,815.02
  6. Step 6: Final answer
    x = 6,392.71

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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.