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Finding the Fourth Proportional to 9,913.76, 13,576.84 and 9,784.16

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Solution

The fourth proportional to 9,913.76, 13,576.84 and 9,784.16 is: 13,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.76 : 13,576.84 = 9,784.16 : x
  2. Step 2: Convert to fraction form
    9,913.76/13,576.84 = 9,784.16/x
  3. Step 3: Cross multiply
    9,913.76x = 13,576.84 × 9,784.16
  4. Step 4: Simplify right side
    9,913.76x = 132,837,974.85
  5. Step 5: Solve for x
    x = 132,837,974.85/9,913.76
  6. Step 6: Final answer
    x = 13,399.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.