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Finding the Fourth Proportional to 9,794, 13,515.72 and 5,602.16

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Solution

The fourth proportional to 9,794, 13,515.72 and 5,602.16 is: 7,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 13,515.72 = 5,602.16 : x
  2. Step 2: Convert to fraction form
    9,794/13,515.72 = 5,602.16/x
  3. Step 3: Cross multiply
    9,794x = 13,515.72 × 5,602.16
  4. Step 4: Simplify right side
    9,794x = 75,717,225.96
  5. Step 5: Solve for x
    x = 75,717,225.96/9,794
  6. Step 6: Final answer
    x = 7,730.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.