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Finding the Fourth Proportional to 9,931.93, 13,706.22 and 5,456.10

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Solution

The fourth proportional to 9,931.93, 13,706.22 and 5,456.10 is: 7,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.93 : 13,706.22 = 5,456.10 : x
  2. Step 2: Convert to fraction form
    9,931.93/13,706.22 = 5,456.10/x
  3. Step 3: Cross multiply
    9,931.93x = 13,706.22 × 5,456.10
  4. Step 4: Simplify right side
    9,931.93x = 74,782,506.94
  5. Step 5: Solve for x
    x = 74,782,506.94/9,931.93
  6. Step 6: Final answer
    x = 7,529.50

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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.