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Finding the Fourth Proportional to 6,998.59, 9,657.69 and 4,345.94

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Solution

The fourth proportional to 6,998.59, 9,657.69 and 4,345.94 is: 5,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.59 : 9,657.69 = 4,345.94 : x
  2. Step 2: Convert to fraction form
    6,998.59/9,657.69 = 4,345.94/x
  3. Step 3: Cross multiply
    6,998.59x = 9,657.69 × 4,345.94
  4. Step 4: Simplify right side
    6,998.59x = 41,971,712.91
  5. Step 5: Solve for x
    x = 41,971,712.91/6,998.59
  6. Step 6: Final answer
    x = 5,997.17

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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.