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Finding the Fourth Proportional to 13,097.12, 19,648.96 and 6,170

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Solution

The fourth proportional to 13,097.12, 19,648.96 and 6,170 is: 9,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.12 : 19,648.96 = 6,170 : x
  2. Step 2: Convert to fraction form
    13,097.12/19,648.96 = 6,170/x
  3. Step 3: Cross multiply
    13,097.12x = 19,648.96 × 6,170
  4. Step 4: Simplify right side
    13,097.12x = 121,234,083.20
  5. Step 5: Solve for x
    x = 121,234,083.20/13,097.12
  6. Step 6: Final answer
    x = 9,256.55

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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.