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Finding the Fourth Proportional to 9,714.78, 14,577.03 and 4,778.64

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Solution

The fourth proportional to 9,714.78, 14,577.03 and 4,778.64 is: 7,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.78 : 14,577.03 = 4,778.64 : x
  2. Step 2: Convert to fraction form
    9,714.78/14,577.03 = 4,778.64/x
  3. Step 3: Cross multiply
    9,714.78x = 14,577.03 × 4,778.64
  4. Step 4: Simplify right side
    9,714.78x = 69,658,378.64
  5. Step 5: Solve for x
    x = 69,658,378.64/9,714.78
  6. Step 6: Final answer
    x = 7,170.35

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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.