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Finding the Fourth Proportional to 9,677.51, 13,355.91 and 5,699.87

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Solution

The fourth proportional to 9,677.51, 13,355.91 and 5,699.87 is: 7,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.51 : 13,355.91 = 5,699.87 : x
  2. Step 2: Convert to fraction form
    9,677.51/13,355.91 = 5,699.87/x
  3. Step 3: Cross multiply
    9,677.51x = 13,355.91 × 5,699.87
  4. Step 4: Simplify right side
    9,677.51x = 76,126,883.95
  5. Step 5: Solve for x
    x = 76,126,883.95/9,677.51
  6. Step 6: Final answer
    x = 7,866.38

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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.