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Finding the Fourth Proportional to 7,028.60, 9,688.14 and 5,767.40

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Solution

The fourth proportional to 7,028.60, 9,688.14 and 5,767.40 is: 7,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.60 : 9,688.14 = 5,767.40 : x
  2. Step 2: Convert to fraction form
    7,028.60/9,688.14 = 5,767.40/x
  3. Step 3: Cross multiply
    7,028.60x = 9,688.14 × 5,767.40
  4. Step 4: Simplify right side
    7,028.60x = 55,875,378.64
  5. Step 5: Solve for x
    x = 55,875,378.64/7,028.60
  6. Step 6: Final answer
    x = 7,949.72

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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.