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Finding the Fourth Proportional to 9,297.06, 13,942.63 and 3,055.63

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Solution

The fourth proportional to 9,297.06, 13,942.63 and 3,055.63 is: 4,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.06 : 13,942.63 = 3,055.63 : x
  2. Step 2: Convert to fraction form
    9,297.06/13,942.63 = 3,055.63/x
  3. Step 3: Cross multiply
    9,297.06x = 13,942.63 × 3,055.63
  4. Step 4: Simplify right side
    9,297.06x = 42,603,518.51
  5. Step 5: Solve for x
    x = 42,603,518.51/9,297.06
  6. Step 6: Final answer
    x = 4,582.47

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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.