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Finding the Fourth Proportional to 9,842.58, 13,582.67 and 5,366.25

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Solution

The fourth proportional to 9,842.58, 13,582.67 and 5,366.25 is: 7,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.58 : 13,582.67 = 5,366.25 : x
  2. Step 2: Convert to fraction form
    9,842.58/13,582.67 = 5,366.25/x
  3. Step 3: Cross multiply
    9,842.58x = 13,582.67 × 5,366.25
  4. Step 4: Simplify right side
    9,842.58x = 72,887,976.06
  5. Step 5: Solve for x
    x = 72,887,976.06/9,842.58
  6. Step 6: Final answer
    x = 7,405.37

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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.