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Finding the Fourth Proportional to 9,833.94, 13,557.57 and 9,528.18

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Solution

The fourth proportional to 9,833.94, 13,557.57 and 9,528.18 is: 13,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.94 : 13,557.57 = 9,528.18 : x
  2. Step 2: Convert to fraction form
    9,833.94/13,557.57 = 9,528.18/x
  3. Step 3: Cross multiply
    9,833.94x = 13,557.57 × 9,528.18
  4. Step 4: Simplify right side
    9,833.94x = 129,178,967.32
  5. Step 5: Solve for x
    x = 129,178,967.32/9,833.94
  6. Step 6: Final answer
    x = 13,136.03

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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.