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Finding the Fourth Proportional to 9,970.39, 14,930.96 and 7,431.40

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Solution

The fourth proportional to 9,970.39, 14,930.96 and 7,431.40 is: 11,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.39 : 14,930.96 = 7,431.40 : x
  2. Step 2: Convert to fraction form
    9,970.39/14,930.96 = 7,431.40/x
  3. Step 3: Cross multiply
    9,970.39x = 14,930.96 × 7,431.40
  4. Step 4: Simplify right side
    9,970.39x = 110,957,936.14
  5. Step 5: Solve for x
    x = 110,957,936.14/9,970.39
  6. Step 6: Final answer
    x = 11,128.75

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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.