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Finding the Fourth Proportional to 10,256.47, 15,413.57 and 6,097.22

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Solution

The fourth proportional to 10,256.47, 15,413.57 and 6,097.22 is: 9,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.47 : 15,413.57 = 6,097.22 : x
  2. Step 2: Convert to fraction form
    10,256.47/15,413.57 = 6,097.22/x
  3. Step 3: Cross multiply
    10,256.47x = 15,413.57 × 6,097.22
  4. Step 4: Simplify right side
    10,256.47x = 93,979,969.94
  5. Step 5: Solve for x
    x = 93,979,969.94/10,256.47
  6. Step 6: Final answer
    x = 9,162.99

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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.