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Finding the Fourth Proportional to 9,466.76, 13,055.64 and 5,930.36

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Solution

The fourth proportional to 9,466.76, 13,055.64 and 5,930.36 is: 8,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.76 : 13,055.64 = 5,930.36 : x
  2. Step 2: Convert to fraction form
    9,466.76/13,055.64 = 5,930.36/x
  3. Step 3: Cross multiply
    9,466.76x = 13,055.64 × 5,930.36
  4. Step 4: Simplify right side
    9,466.76x = 77,424,645.23
  5. Step 5: Solve for x
    x = 77,424,645.23/9,466.76
  6. Step 6: Final answer
    x = 8,178.58

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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.