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Finding the Fourth Proportional to 9,997.71, 14,933.62 and 7,341.72

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Solution

The fourth proportional to 9,997.71, 14,933.62 and 7,341.72 is: 10,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.71 : 14,933.62 = 7,341.72 : x
  2. Step 2: Convert to fraction form
    9,997.71/14,933.62 = 7,341.72/x
  3. Step 3: Cross multiply
    9,997.71x = 14,933.62 × 7,341.72
  4. Step 4: Simplify right side
    9,997.71x = 109,638,456.63
  5. Step 5: Solve for x
    x = 109,638,456.63/9,997.71
  6. Step 6: Final answer
    x = 10,966.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.