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Finding the Fourth Proportional to 9,090.90, 12,544.74 and 5,111.22

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Solution

The fourth proportional to 9,090.90, 12,544.74 and 5,111.22 is: 7,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.90 : 12,544.74 = 5,111.22 : x
  2. Step 2: Convert to fraction form
    9,090.90/12,544.74 = 5,111.22/x
  3. Step 3: Cross multiply
    9,090.90x = 12,544.74 × 5,111.22
  4. Step 4: Simplify right side
    9,090.90x = 64,118,925.98
  5. Step 5: Solve for x
    x = 64,118,925.98/9,090.90
  6. Step 6: Final answer
    x = 7,053.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.