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Finding the Fourth Proportional to 9,737.21, 13,430.00 and 8,395.14

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Solution

The fourth proportional to 9,737.21, 13,430.00 and 8,395.14 is: 11,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.21 : 13,430.00 = 8,395.14 : x
  2. Step 2: Convert to fraction form
    9,737.21/13,430.00 = 8,395.14/x
  3. Step 3: Cross multiply
    9,737.21x = 13,430.00 × 8,395.14
  4. Step 4: Simplify right side
    9,737.21x = 112,746,801.55
  5. Step 5: Solve for x
    x = 112,746,801.55/9,737.21
  6. Step 6: Final answer
    x = 11,578.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.