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Finding the Fourth Proportional to 9,837.39, 13,574.01 and 5,858.40

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Solution

The fourth proportional to 9,837.39, 13,574.01 and 5,858.40 is: 8,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.39 : 13,574.01 = 5,858.40 : x
  2. Step 2: Convert to fraction form
    9,837.39/13,574.01 = 5,858.40/x
  3. Step 3: Cross multiply
    9,837.39x = 13,574.01 × 5,858.40
  4. Step 4: Simplify right side
    9,837.39x = 79,521,980.18
  5. Step 5: Solve for x
    x = 79,521,980.18/9,837.39
  6. Step 6: Final answer
    x = 8,083.65

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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.