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Finding the Fourth Proportional to 9,413.24, 12,978.50 and 6,050.12

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Solution

The fourth proportional to 9,413.24, 12,978.50 and 6,050.12 is: 8,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.24 : 12,978.50 = 6,050.12 : x
  2. Step 2: Convert to fraction form
    9,413.24/12,978.50 = 6,050.12/x
  3. Step 3: Cross multiply
    9,413.24x = 12,978.50 × 6,050.12
  4. Step 4: Simplify right side
    9,413.24x = 78,521,482.42
  5. Step 5: Solve for x
    x = 78,521,482.42/9,413.24
  6. Step 6: Final answer
    x = 8,341.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.