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Finding the Fourth Proportional to 9,139.02, 13,704.81 and 2,897.02

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Solution

The fourth proportional to 9,139.02, 13,704.81 and 2,897.02 is: 4,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.02 : 13,704.81 = 2,897.02 : x
  2. Step 2: Convert to fraction form
    9,139.02/13,704.81 = 2,897.02/x
  3. Step 3: Cross multiply
    9,139.02x = 13,704.81 × 2,897.02
  4. Step 4: Simplify right side
    9,139.02x = 39,703,108.67
  5. Step 5: Solve for x
    x = 39,703,108.67/9,139.02
  6. Step 6: Final answer
    x = 4,344.35

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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.