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Finding the Fourth Proportional to 9,038.01, 13,556.25 and 3,114.89

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Solution

The fourth proportional to 9,038.01, 13,556.25 and 3,114.89 is: 4,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.01 : 13,556.25 = 3,114.89 : x
  2. Step 2: Convert to fraction form
    9,038.01/13,556.25 = 3,114.89/x
  3. Step 3: Cross multiply
    9,038.01x = 13,556.25 × 3,114.89
  4. Step 4: Simplify right side
    9,038.01x = 42,226,227.56
  5. Step 5: Solve for x
    x = 42,226,227.56/9,038.01
  6. Step 6: Final answer
    x = 4,672.07

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