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Finding the Fourth Proportional to 9,830.10, 14,735.55 and 8,793.30

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Solution

The fourth proportional to 9,830.10, 14,735.55 and 8,793.30 is: 13,181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.10 : 14,735.55 = 8,793.30 : x
  2. Step 2: Convert to fraction form
    9,830.10/14,735.55 = 8,793.30/x
  3. Step 3: Cross multiply
    9,830.10x = 14,735.55 × 8,793.30
  4. Step 4: Simplify right side
    9,830.10x = 129,574,111.82
  5. Step 5: Solve for x
    x = 129,574,111.82/9,830.10
  6. Step 6: Final answer
    x = 13,181.36

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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.