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Finding the Fourth Proportional to 9,497.85, 13,106.86 and 5,248.90

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Solution

The fourth proportional to 9,497.85, 13,106.86 and 5,248.90 is: 7,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.85 : 13,106.86 = 5,248.90 : x
  2. Step 2: Convert to fraction form
    9,497.85/13,106.86 = 5,248.90/x
  3. Step 3: Cross multiply
    9,497.85x = 13,106.86 × 5,248.90
  4. Step 4: Simplify right side
    9,497.85x = 68,796,597.45
  5. Step 5: Solve for x
    x = 68,796,597.45/9,497.85
  6. Step 6: Final answer
    x = 7,243.39

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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.