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Finding the Fourth Proportional to 9,677.68, 13,356.50 and 5,698.76

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Solution

The fourth proportional to 9,677.68, 13,356.50 and 5,698.76 is: 7,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.68 : 13,356.50 = 5,698.76 : x
  2. Step 2: Convert to fraction form
    9,677.68/13,356.50 = 5,698.76/x
  3. Step 3: Cross multiply
    9,677.68x = 13,356.50 × 5,698.76
  4. Step 4: Simplify right side
    9,677.68x = 76,115,392.66
  5. Step 5: Solve for x
    x = 76,115,392.66/9,677.68
  6. Step 6: Final answer
    x = 7,865.05

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