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Finding the Fourth Proportional to 9,833.56, 13,570.47 and 5,357.50

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Solution

The fourth proportional to 9,833.56, 13,570.47 and 5,357.50 is: 7,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.56 : 13,570.47 = 5,357.50 : x
  2. Step 2: Convert to fraction form
    9,833.56/13,570.47 = 5,357.50/x
  3. Step 3: Cross multiply
    9,833.56x = 13,570.47 × 5,357.50
  4. Step 4: Simplify right side
    9,833.56x = 72,703,759.10
  5. Step 5: Solve for x
    x = 72,703,759.10/9,833.56
  6. Step 6: Final answer
    x = 7,393.43

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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.