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Finding the Fourth Proportional to 9,867.80, 13,614.40 and 7,035.64

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Solution

The fourth proportional to 9,867.80, 13,614.40 and 7,035.64 is: 9,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.80 : 13,614.40 = 7,035.64 : x
  2. Step 2: Convert to fraction form
    9,867.80/13,614.40 = 7,035.64/x
  3. Step 3: Cross multiply
    9,867.80x = 13,614.40 × 7,035.64
  4. Step 4: Simplify right side
    9,867.80x = 95,786,017.22
  5. Step 5: Solve for x
    x = 95,786,017.22/9,867.80
  6. Step 6: Final answer
    x = 9,706.93

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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.