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Finding the Fourth Proportional to 9,164.58, 13,740.14 and 2,921

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Solution

The fourth proportional to 9,164.58, 13,740.14 and 2,921 is: 4,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.58 : 13,740.14 = 2,921 : x
  2. Step 2: Convert to fraction form
    9,164.58/13,740.14 = 2,921/x
  3. Step 3: Cross multiply
    9,164.58x = 13,740.14 × 2,921
  4. Step 4: Simplify right side
    9,164.58x = 40,134,948.94
  5. Step 5: Solve for x
    x = 40,134,948.94/9,164.58
  6. Step 6: Final answer
    x = 4,379.35

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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.