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Finding the Fourth Proportional to 9,614, 14,413.98 and 6,486.23

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Solution

The fourth proportional to 9,614, 14,413.98 and 6,486.23 is: 9,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 14,413.98 = 6,486.23 : x
  2. Step 2: Convert to fraction form
    9,614/14,413.98 = 6,486.23/x
  3. Step 3: Cross multiply
    9,614x = 14,413.98 × 6,486.23
  4. Step 4: Simplify right side
    9,614x = 93,492,389.50
  5. Step 5: Solve for x
    x = 93,492,389.50/9,614
  6. Step 6: Final answer
    x = 9,724.61

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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.