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Finding the Fourth Proportional to 9,830.20, 14,734.92 and 7,055.37

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Solution

The fourth proportional to 9,830.20, 14,734.92 and 7,055.37 is: 10,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.20 : 14,734.92 = 7,055.37 : x
  2. Step 2: Convert to fraction form
    9,830.20/14,734.92 = 7,055.37/x
  3. Step 3: Cross multiply
    9,830.20x = 14,734.92 × 7,055.37
  4. Step 4: Simplify right side
    9,830.20x = 103,960,286.06
  5. Step 5: Solve for x
    x = 103,960,286.06/9,830.20
  6. Step 6: Final answer
    x = 10,575.60

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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.