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Finding the Fourth Proportional to 9,055.66, 13,563.96 and 7,477.96

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Solution

The fourth proportional to 9,055.66, 13,563.96 and 7,477.96 is: 11,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055.66 : 13,563.96 = 7,477.96 : x
  2. Step 2: Convert to fraction form
    9,055.66/13,563.96 = 7,477.96/x
  3. Step 3: Cross multiply
    9,055.66x = 13,563.96 × 7,477.96
  4. Step 4: Simplify right side
    9,055.66x = 101,430,750.32
  5. Step 5: Solve for x
    x = 101,430,750.32/9,055.66
  6. Step 6: Final answer
    x = 11,200.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.