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Finding the Fourth Proportional to 9,785.53, 13,503.64 and 5,309.11

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Solution

The fourth proportional to 9,785.53, 13,503.64 and 5,309.11 is: 7,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.53 : 13,503.64 = 5,309.11 : x
  2. Step 2: Convert to fraction form
    9,785.53/13,503.64 = 5,309.11/x
  3. Step 3: Cross multiply
    9,785.53x = 13,503.64 × 5,309.11
  4. Step 4: Simplify right side
    9,785.53x = 71,692,323.72
  5. Step 5: Solve for x
    x = 71,692,323.72/9,785.53
  6. Step 6: Final answer
    x = 7,326.36

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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.