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Finding the Fourth Proportional to 9,807.12, 13,530.78 and 5,614.56

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Solution

The fourth proportional to 9,807.12, 13,530.78 and 5,614.56 is: 7,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.12 : 13,530.78 = 5,614.56 : x
  2. Step 2: Convert to fraction form
    9,807.12/13,530.78 = 5,614.56/x
  3. Step 3: Cross multiply
    9,807.12x = 13,530.78 × 5,614.56
  4. Step 4: Simplify right side
    9,807.12x = 75,969,376.16
  5. Step 5: Solve for x
    x = 75,969,376.16/9,807.12
  6. Step 6: Final answer
    x = 7,746.35

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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.