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Finding the Fourth Proportional to 9,461.49, 13,061.21 and 6,737.81

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Solution

The fourth proportional to 9,461.49, 13,061.21 and 6,737.81 is: 9,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.49 : 13,061.21 = 6,737.81 : x
  2. Step 2: Convert to fraction form
    9,461.49/13,061.21 = 6,737.81/x
  3. Step 3: Cross multiply
    9,461.49x = 13,061.21 × 6,737.81
  4. Step 4: Simplify right side
    9,461.49x = 88,003,852.36
  5. Step 5: Solve for x
    x = 88,003,852.36/9,461.49
  6. Step 6: Final answer
    x = 9,301.27

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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.