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Finding the Fourth Proportional to 6,307.43, 9,442.77 and 4,916.52

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Solution

The fourth proportional to 6,307.43, 9,442.77 and 4,916.52 is: 7,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.43 : 9,442.77 = 4,916.52 : x
  2. Step 2: Convert to fraction form
    6,307.43/9,442.77 = 4,916.52/x
  3. Step 3: Cross multiply
    6,307.43x = 9,442.77 × 4,916.52
  4. Step 4: Simplify right side
    6,307.43x = 46,425,567.56
  5. Step 5: Solve for x
    x = 46,425,567.56/6,307.43
  6. Step 6: Final answer
    x = 7,360.46

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Why These Related Problems?

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