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Finding the Fourth Proportional to 7,082.45, 9,776.66 and 4,564.70

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Solution

The fourth proportional to 7,082.45, 9,776.66 and 4,564.70 is: 6,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.45 : 9,776.66 = 4,564.70 : x
  2. Step 2: Convert to fraction form
    7,082.45/9,776.66 = 4,564.70/x
  3. Step 3: Cross multiply
    7,082.45x = 9,776.66 × 4,564.70
  4. Step 4: Simplify right side
    7,082.45x = 44,627,448.20
  5. Step 5: Solve for x
    x = 44,627,448.20/7,082.45
  6. Step 6: Final answer
    x = 6,301.14

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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.