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Finding the Fourth Proportional to 9,607.80, 14,411.70 and 9,413.40

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Solution

The fourth proportional to 9,607.80, 14,411.70 and 9,413.40 is: 14,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.80 : 14,411.70 = 9,413.40 : x
  2. Step 2: Convert to fraction form
    9,607.80/14,411.70 = 9,413.40/x
  3. Step 3: Cross multiply
    9,607.80x = 14,411.70 × 9,413.40
  4. Step 4: Simplify right side
    9,607.80x = 135,663,096.78
  5. Step 5: Solve for x
    x = 135,663,096.78/9,607.80
  6. Step 6: Final answer
    x = 14,120.10

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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.