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Finding the Fourth Proportional to 9,833.59, 13,570.23 and 5,357.53

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Solution

The fourth proportional to 9,833.59, 13,570.23 and 5,357.53 is: 7,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.59 : 13,570.23 = 5,357.53 : x
  2. Step 2: Convert to fraction form
    9,833.59/13,570.23 = 5,357.53/x
  3. Step 3: Cross multiply
    9,833.59x = 13,570.23 × 5,357.53
  4. Step 4: Simplify right side
    9,833.59x = 72,702,914.33
  5. Step 5: Solve for x
    x = 72,702,914.33/9,833.59
  6. Step 6: Final answer
    x = 7,393.32

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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.