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Finding the Fourth Proportional to 9,834.69, 13,558.60 and 9,528.93

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Solution

The fourth proportional to 9,834.69, 13,558.60 and 9,528.93 is: 13,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.69 : 13,558.60 = 9,528.93 : x
  2. Step 2: Convert to fraction form
    9,834.69/13,558.60 = 9,528.93/x
  3. Step 3: Cross multiply
    9,834.69x = 13,558.60 × 9,528.93
  4. Step 4: Simplify right side
    9,834.69x = 129,198,950.30
  5. Step 5: Solve for x
    x = 129,198,950.30/9,834.69
  6. Step 6: Final answer
    x = 13,137.06

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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.