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Finding the Fourth Proportional to 9,088.01, 13,638.29 and 5,969.51

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Solution

The fourth proportional to 9,088.01, 13,638.29 and 5,969.51 is: 8,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.01 : 13,638.29 = 5,969.51 : x
  2. Step 2: Convert to fraction form
    9,088.01/13,638.29 = 5,969.51/x
  3. Step 3: Cross multiply
    9,088.01x = 13,638.29 × 5,969.51
  4. Step 4: Simplify right side
    9,088.01x = 81,413,810.50
  5. Step 5: Solve for x
    x = 81,413,810.50/9,088.01
  6. Step 6: Final answer
    x = 8,958.38

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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.