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Finding the Fourth Proportional to 9,685.40, 13,366.40 and 5,436.23

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Solution

The fourth proportional to 9,685.40, 13,366.40 and 5,436.23 is: 7,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.40 : 13,366.40 = 5,436.23 : x
  2. Step 2: Convert to fraction form
    9,685.40/13,366.40 = 5,436.23/x
  3. Step 3: Cross multiply
    9,685.40x = 13,366.40 × 5,436.23
  4. Step 4: Simplify right side
    9,685.40x = 72,662,730.66
  5. Step 5: Solve for x
    x = 72,662,730.66/9,685.40
  6. Step 6: Final answer
    x = 7,502.30

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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.