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Finding the Fourth Proportional to 9,351.40, 14,008.20 and 5,830.60

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Solution

The fourth proportional to 9,351.40, 14,008.20 and 5,830.60 is: 8,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.40 : 14,008.20 = 5,830.60 : x
  2. Step 2: Convert to fraction form
    9,351.40/14,008.20 = 5,830.60/x
  3. Step 3: Cross multiply
    9,351.40x = 14,008.20 × 5,830.60
  4. Step 4: Simplify right side
    9,351.40x = 81,676,210.92
  5. Step 5: Solve for x
    x = 81,676,210.92/9,351.40
  6. Step 6: Final answer
    x = 8,734.12

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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.