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Finding the Fourth Proportional to 7,061.82, 9,746.73 and 4,078.14

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Solution

The fourth proportional to 7,061.82, 9,746.73 and 4,078.14 is: 5,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.82 : 9,746.73 = 4,078.14 : x
  2. Step 2: Convert to fraction form
    7,061.82/9,746.73 = 4,078.14/x
  3. Step 3: Cross multiply
    7,061.82x = 9,746.73 × 4,078.14
  4. Step 4: Simplify right side
    7,061.82x = 39,748,529.48
  5. Step 5: Solve for x
    x = 39,748,529.48/7,061.82
  6. Step 6: Final answer
    x = 5,628.65

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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.