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Finding the Fourth Proportional to 9,093.98, 12,548.95 and 5,114.36

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Solution

The fourth proportional to 9,093.98, 12,548.95 and 5,114.36 is: 7,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.98 : 12,548.95 = 5,114.36 : x
  2. Step 2: Convert to fraction form
    9,093.98/12,548.95 = 5,114.36/x
  3. Step 3: Cross multiply
    9,093.98x = 12,548.95 × 5,114.36
  4. Step 4: Simplify right side
    9,093.98x = 64,179,866.51
  5. Step 5: Solve for x
    x = 64,179,866.51/9,093.98
  6. Step 6: Final answer
    x = 7,057.40

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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.