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Finding the Fourth Proportional to 9,654.80, 14,482.47 and 3,413.93

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Solution

The fourth proportional to 9,654.80, 14,482.47 and 3,413.93 is: 5,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.80 : 14,482.47 = 3,413.93 : x
  2. Step 2: Convert to fraction form
    9,654.80/14,482.47 = 3,413.93/x
  3. Step 3: Cross multiply
    9,654.80x = 14,482.47 × 3,413.93
  4. Step 4: Simplify right side
    9,654.80x = 49,442,138.81
  5. Step 5: Solve for x
    x = 49,442,138.81/9,654.80
  6. Step 6: Final answer
    x = 5,120.99

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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.