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Finding the Fourth Proportional to 9,093, 12,548.88 and 5,557.08

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Solution

The fourth proportional to 9,093, 12,548.88 and 5,557.08 is: 7,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093 : 12,548.88 = 5,557.08 : x
  2. Step 2: Convert to fraction form
    9,093/12,548.88 = 5,557.08/x
  3. Step 3: Cross multiply
    9,093x = 12,548.88 × 5,557.08
  4. Step 4: Simplify right side
    9,093x = 69,735,130.07
  5. Step 5: Solve for x
    x = 69,735,130.07/9,093
  6. Step 6: Final answer
    x = 7,669.10

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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.