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Finding the Fourth Proportional to 9,677.01, 13,353.95 and 5,698.36

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Solution

The fourth proportional to 9,677.01, 13,353.95 and 5,698.36 is: 7,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.01 : 13,353.95 = 5,698.36 : x
  2. Step 2: Convert to fraction form
    9,677.01/13,353.95 = 5,698.36/x
  3. Step 3: Cross multiply
    9,677.01x = 13,353.95 × 5,698.36
  4. Step 4: Simplify right side
    9,677.01x = 76,095,595.38
  5. Step 5: Solve for x
    x = 76,095,595.38/9,677.01
  6. Step 6: Final answer
    x = 7,863.54

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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.