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Finding the Fourth Proportional to 7,041.51, 9,717.84 and 3,898.17

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Solution

The fourth proportional to 7,041.51, 9,717.84 and 3,898.17 is: 5,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.51 : 9,717.84 = 3,898.17 : x
  2. Step 2: Convert to fraction form
    7,041.51/9,717.84 = 3,898.17/x
  3. Step 3: Cross multiply
    7,041.51x = 9,717.84 × 3,898.17
  4. Step 4: Simplify right side
    7,041.51x = 37,881,792.35
  5. Step 5: Solve for x
    x = 37,881,792.35/7,041.51
  6. Step 6: Final answer
    x = 5,379.78

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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.