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Finding the Fourth Proportional to 9,833.48, 13,569.74 and 5,357.21

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Solution

The fourth proportional to 9,833.48, 13,569.74 and 5,357.21 is: 7,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.48 : 13,569.74 = 5,357.21 : x
  2. Step 2: Convert to fraction form
    9,833.48/13,569.74 = 5,357.21/x
  3. Step 3: Cross multiply
    9,833.48x = 13,569.74 × 5,357.21
  4. Step 4: Simplify right side
    9,833.48x = 72,695,920.04
  5. Step 5: Solve for x
    x = 72,695,920.04/9,833.48
  6. Step 6: Final answer
    x = 7,392.70

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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.