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Finding the Fourth Proportional to 9,139.10, 13,709.99 and 2,897.03

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Solution

The fourth proportional to 9,139.10, 13,709.99 and 2,897.03 is: 4,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.10 : 13,709.99 = 2,897.03 : x
  2. Step 2: Convert to fraction form
    9,139.10/13,709.99 = 2,897.03/x
  3. Step 3: Cross multiply
    9,139.10x = 13,709.99 × 2,897.03
  4. Step 4: Simplify right side
    9,139.10x = 39,718,293.85
  5. Step 5: Solve for x
    x = 39,718,293.85/9,139.10
  6. Step 6: Final answer
    x = 4,345.98

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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.