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Finding the Fourth Proportional to 9,413.30, 12,989.90 and 5,435.69

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Solution

The fourth proportional to 9,413.30, 12,989.90 and 5,435.69 is: 7,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.30 : 12,989.90 = 5,435.69 : x
  2. Step 2: Convert to fraction form
    9,413.30/12,989.90 = 5,435.69/x
  3. Step 3: Cross multiply
    9,413.30x = 12,989.90 × 5,435.69
  4. Step 4: Simplify right side
    9,413.30x = 70,609,018.17
  5. Step 5: Solve for x
    x = 70,609,018.17/9,413.30
  6. Step 6: Final answer
    x = 7,500.98

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