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Finding the Fourth Proportional to 6,281.22, 9,421.82 and 4,895.60

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Solution

The fourth proportional to 6,281.22, 9,421.82 and 4,895.60 is: 7,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.22 : 9,421.82 = 4,895.60 : x
  2. Step 2: Convert to fraction form
    6,281.22/9,421.82 = 4,895.60/x
  3. Step 3: Cross multiply
    6,281.22x = 9,421.82 × 4,895.60
  4. Step 4: Simplify right side
    6,281.22x = 46,125,413.35
  5. Step 5: Solve for x
    x = 46,125,413.35/6,281.22
  6. Step 6: Final answer
    x = 7,343.38

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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.