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Finding the Fourth Proportional to 9,785.36, 13,502.64 and 5,536.91

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Solution

The fourth proportional to 9,785.36, 13,502.64 and 5,536.91 is: 7,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.36 : 13,502.64 = 5,536.91 : x
  2. Step 2: Convert to fraction form
    9,785.36/13,502.64 = 5,536.91/x
  3. Step 3: Cross multiply
    9,785.36x = 13,502.64 × 5,536.91
  4. Step 4: Simplify right side
    9,785.36x = 74,762,834.93
  5. Step 5: Solve for x
    x = 74,762,834.93/9,785.36
  6. Step 6: Final answer
    x = 7,640.28

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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.