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Finding the Fourth Proportional to 10,291.93, 15,413.29 and 9,775.26

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Solution

The fourth proportional to 10,291.93, 15,413.29 and 9,775.26 is: 14,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.93 : 15,413.29 = 9,775.26 : x
  2. Step 2: Convert to fraction form
    10,291.93/15,413.29 = 9,775.26/x
  3. Step 3: Cross multiply
    10,291.93x = 15,413.29 × 9,775.26
  4. Step 4: Simplify right side
    10,291.93x = 150,668,917.21
  5. Step 5: Solve for x
    x = 150,668,917.21/10,291.93
  6. Step 6: Final answer
    x = 14,639.52

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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.