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Finding the Fourth Proportional to 9,613.16, 14,413.02 and 4,416.20

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Solution

The fourth proportional to 9,613.16, 14,413.02 and 4,416.20 is: 6,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.16 : 14,413.02 = 4,416.20 : x
  2. Step 2: Convert to fraction form
    9,613.16/14,413.02 = 4,416.20/x
  3. Step 3: Cross multiply
    9,613.16x = 14,413.02 × 4,416.20
  4. Step 4: Simplify right side
    9,613.16x = 63,650,778.92
  5. Step 5: Solve for x
    x = 63,650,778.92/9,613.16
  6. Step 6: Final answer
    x = 6,621.21

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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.