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Finding the Fourth Proportional to 9,497.41, 14,231.40 and 7,154.89

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Solution

The fourth proportional to 9,497.41, 14,231.40 and 7,154.89 is: 10,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.41 : 14,231.40 = 7,154.89 : x
  2. Step 2: Convert to fraction form
    9,497.41/14,231.40 = 7,154.89/x
  3. Step 3: Cross multiply
    9,497.41x = 14,231.40 × 7,154.89
  4. Step 4: Simplify right side
    9,497.41x = 101,824,101.55
  5. Step 5: Solve for x
    x = 101,824,101.55/9,497.41
  6. Step 6: Final answer
    x = 10,721.25

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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.