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Finding the Fourth Proportional to 6,516.69, 9,775.02 and 2,303.06

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Solution

The fourth proportional to 6,516.69, 9,775.02 and 2,303.06 is: 3,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.69 : 9,775.02 = 2,303.06 : x
  2. Step 2: Convert to fraction form
    6,516.69/9,775.02 = 2,303.06/x
  3. Step 3: Cross multiply
    6,516.69x = 9,775.02 × 2,303.06
  4. Step 4: Simplify right side
    6,516.69x = 22,512,408.69
  5. Step 5: Solve for x
    x = 22,512,408.69/6,516.69
  6. Step 6: Final answer
    x = 3,454.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.