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Finding the Fourth Proportional to 10,709.40, 14,784.34 and 6,732.71

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Solution

The fourth proportional to 10,709.40, 14,784.34 and 6,732.71 is: 9,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.40 : 14,784.34 = 6,732.71 : x
  2. Step 2: Convert to fraction form
    10,709.40/14,784.34 = 6,732.71/x
  3. Step 3: Cross multiply
    10,709.40x = 14,784.34 × 6,732.71
  4. Step 4: Simplify right side
    10,709.40x = 99,538,651.07
  5. Step 5: Solve for x
    x = 99,538,651.07/10,709.40
  6. Step 6: Final answer
    x = 9,294.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.