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Finding the Fourth Proportional to 9,832.93, 13,570.64 and 5,585.32

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Solution

The fourth proportional to 9,832.93, 13,570.64 and 5,585.32 is: 7,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.93 : 13,570.64 = 5,585.32 : x
  2. Step 2: Convert to fraction form
    9,832.93/13,570.64 = 5,585.32/x
  3. Step 3: Cross multiply
    9,832.93x = 13,570.64 × 5,585.32
  4. Step 4: Simplify right side
    9,832.93x = 75,796,367.00
  5. Step 5: Solve for x
    x = 75,796,367.00/9,832.93
  6. Step 6: Final answer
    x = 7,708.42

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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.