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Finding the Fourth Proportional to 9,463.47, 14,197.29 and 2,890.17

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Solution

The fourth proportional to 9,463.47, 14,197.29 and 2,890.17 is: 4,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.47 : 14,197.29 = 2,890.17 : x
  2. Step 2: Convert to fraction form
    9,463.47/14,197.29 = 2,890.17/x
  3. Step 3: Cross multiply
    9,463.47x = 14,197.29 × 2,890.17
  4. Step 4: Simplify right side
    9,463.47x = 41,032,581.64
  5. Step 5: Solve for x
    x = 41,032,581.64/9,463.47
  6. Step 6: Final answer
    x = 4,335.89

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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.