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Finding the Fourth Proportional to 9,615.41, 14,413.88 and 3,037.10

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Solution

The fourth proportional to 9,615.41, 14,413.88 and 3,037.10 is: 4,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.41 : 14,413.88 = 3,037.10 : x
  2. Step 2: Convert to fraction form
    9,615.41/14,413.88 = 3,037.10/x
  3. Step 3: Cross multiply
    9,615.41x = 14,413.88 × 3,037.10
  4. Step 4: Simplify right side
    9,615.41x = 43,776,330.47
  5. Step 5: Solve for x
    x = 43,776,330.47/9,615.41
  6. Step 6: Final answer
    x = 4,552.73

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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.