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Finding the Fourth Proportional to 9,988.74, 14,984.44 and 3,413.16

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Solution

The fourth proportional to 9,988.74, 14,984.44 and 3,413.16 is: 5,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.74 : 14,984.44 = 3,413.16 : x
  2. Step 2: Convert to fraction form
    9,988.74/14,984.44 = 3,413.16/x
  3. Step 3: Cross multiply
    9,988.74x = 14,984.44 × 3,413.16
  4. Step 4: Simplify right side
    9,988.74x = 51,144,291.23
  5. Step 5: Solve for x
    x = 51,144,291.23/9,988.74
  6. Step 6: Final answer
    x = 5,120.19

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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.