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Finding the Fourth Proportional to 9,860.86, 14,792.25 and 4,860.23

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Solution

The fourth proportional to 9,860.86, 14,792.25 and 4,860.23 is: 7,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.86 : 14,792.25 = 4,860.23 : x
  2. Step 2: Convert to fraction form
    9,860.86/14,792.25 = 4,860.23/x
  3. Step 3: Cross multiply
    9,860.86x = 14,792.25 × 4,860.23
  4. Step 4: Simplify right side
    9,860.86x = 71,893,737.22
  5. Step 5: Solve for x
    x = 71,893,737.22/9,860.86
  6. Step 6: Final answer
    x = 7,290.82

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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.