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Finding the Fourth Proportional to 9,772.01, 14,677.63 and 5,830.96

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Solution

The fourth proportional to 9,772.01, 14,677.63 and 5,830.96 is: 8,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.01 : 14,677.63 = 5,830.96 : x
  2. Step 2: Convert to fraction form
    9,772.01/14,677.63 = 5,830.96/x
  3. Step 3: Cross multiply
    9,772.01x = 14,677.63 × 5,830.96
  4. Step 4: Simplify right side
    9,772.01x = 85,584,622.15
  5. Step 5: Solve for x
    x = 85,584,622.15/9,772.01
  6. Step 6: Final answer
    x = 8,758.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.