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Finding the Fourth Proportional to 9,492.58, 14,229.15 and 4,803.90

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Solution

The fourth proportional to 9,492.58, 14,229.15 and 4,803.90 is: 7,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.58 : 14,229.15 = 4,803.90 : x
  2. Step 2: Convert to fraction form
    9,492.58/14,229.15 = 4,803.90/x
  3. Step 3: Cross multiply
    9,492.58x = 14,229.15 × 4,803.90
  4. Step 4: Simplify right side
    9,492.58x = 68,355,413.69
  5. Step 5: Solve for x
    x = 68,355,413.69/9,492.58
  6. Step 6: Final answer
    x = 7,200.93

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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.