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Finding the Fourth Proportional to 9,785.81, 13,498.45 and 5,804.26

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Solution

The fourth proportional to 9,785.81, 13,498.45 and 5,804.26 is: 8,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.81 : 13,498.45 = 5,804.26 : x
  2. Step 2: Convert to fraction form
    9,785.81/13,498.45 = 5,804.26/x
  3. Step 3: Cross multiply
    9,785.81x = 13,498.45 × 5,804.26
  4. Step 4: Simplify right side
    9,785.81x = 78,348,465.14
  5. Step 5: Solve for x
    x = 78,348,465.14/9,785.81
  6. Step 6: Final answer
    x = 8,006.33

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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.