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Finding the Fourth Proportional to 9,413.22, 12,987.99 and 5,875.14

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Solution

The fourth proportional to 9,413.22, 12,987.99 and 5,875.14 is: 8,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.22 : 12,987.99 = 5,875.14 : x
  2. Step 2: Convert to fraction form
    9,413.22/12,987.99 = 5,875.14/x
  3. Step 3: Cross multiply
    9,413.22x = 12,987.99 × 5,875.14
  4. Step 4: Simplify right side
    9,413.22x = 76,306,259.57
  5. Step 5: Solve for x
    x = 76,306,259.57/9,413.22
  6. Step 6: Final answer
    x = 8,106.29

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1.5x scale

Why These Related Problems?

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