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Finding the Fourth Proportional to 9,609.10, 14,413.65 and 4,061.01

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Solution

The fourth proportional to 9,609.10, 14,413.65 and 4,061.01 is: 6,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.10 : 14,413.65 = 4,061.01 : x
  2. Step 2: Convert to fraction form
    9,609.10/14,413.65 = 4,061.01/x
  3. Step 3: Cross multiply
    9,609.10x = 14,413.65 × 4,061.01
  4. Step 4: Simplify right side
    9,609.10x = 58,533,976.79
  5. Step 5: Solve for x
    x = 58,533,976.79/9,609.10
  6. Step 6: Final answer
    x = 6,091.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.