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Finding the Fourth Proportional to 9,577.76, 14,330.19 and 5,764.08

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Solution

The fourth proportional to 9,577.76, 14,330.19 and 5,764.08 is: 8,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.76 : 14,330.19 = 5,764.08 : x
  2. Step 2: Convert to fraction form
    9,577.76/14,330.19 = 5,764.08/x
  3. Step 3: Cross multiply
    9,577.76x = 14,330.19 × 5,764.08
  4. Step 4: Simplify right side
    9,577.76x = 82,600,361.58
  5. Step 5: Solve for x
    x = 82,600,361.58/9,577.76
  6. Step 6: Final answer
    x = 8,624.18

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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.