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Finding the Fourth Proportional to 6,204.70, 9,307.05 and 4,455.10

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Solution

The fourth proportional to 6,204.70, 9,307.05 and 4,455.10 is: 6,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.70 : 9,307.05 = 4,455.10 : x
  2. Step 2: Convert to fraction form
    6,204.70/9,307.05 = 4,455.10/x
  3. Step 3: Cross multiply
    6,204.70x = 9,307.05 × 4,455.10
  4. Step 4: Simplify right side
    6,204.70x = 41,463,838.46
  5. Step 5: Solve for x
    x = 41,463,838.46/6,204.70
  6. Step 6: Final answer
    x = 6,682.65

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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.