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Finding the Fourth Proportional to 9,833.94, 13,570.80 and 5,357.68

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Solution

The fourth proportional to 9,833.94, 13,570.80 and 5,357.68 is: 7,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.94 : 13,570.80 = 5,357.68 : x
  2. Step 2: Convert to fraction form
    9,833.94/13,570.80 = 5,357.68/x
  3. Step 3: Cross multiply
    9,833.94x = 13,570.80 × 5,357.68
  4. Step 4: Simplify right side
    9,833.94x = 72,708,020.71
  5. Step 5: Solve for x
    x = 72,708,020.71/9,833.94
  6. Step 6: Final answer
    x = 7,393.58

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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.