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Finding the Fourth Proportional to 9,137.14, 13,705.60 and 2,897.14

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Solution

The fourth proportional to 9,137.14, 13,705.60 and 2,897.14 is: 4,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.14 : 13,705.60 = 2,897.14 : x
  2. Step 2: Convert to fraction form
    9,137.14/13,705.60 = 2,897.14/x
  3. Step 3: Cross multiply
    9,137.14x = 13,705.60 × 2,897.14
  4. Step 4: Simplify right side
    9,137.14x = 39,707,041.98
  5. Step 5: Solve for x
    x = 39,707,041.98/9,137.14
  6. Step 6: Final answer
    x = 4,345.68

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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.