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Finding the Fourth Proportional to 9,528.40, 14,357.68 and 7,834.96

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Solution

The fourth proportional to 9,528.40, 14,357.68 and 7,834.96 is: 11,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.40 : 14,357.68 = 7,834.96 : x
  2. Step 2: Convert to fraction form
    9,528.40/14,357.68 = 7,834.96/x
  3. Step 3: Cross multiply
    9,528.40x = 14,357.68 × 7,834.96
  4. Step 4: Simplify right side
    9,528.40x = 112,491,848.49
  5. Step 5: Solve for x
    x = 112,491,848.49/9,528.40
  6. Step 6: Final answer
    x = 11,805.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.