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Finding the Fourth Proportional to 9,497.55, 13,106.94 and 5,962.71

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Solution

The fourth proportional to 9,497.55, 13,106.94 and 5,962.71 is: 8,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.55 : 13,106.94 = 5,962.71 : x
  2. Step 2: Convert to fraction form
    9,497.55/13,106.94 = 5,962.71/x
  3. Step 3: Cross multiply
    9,497.55x = 13,106.94 × 5,962.71
  4. Step 4: Simplify right side
    9,497.55x = 78,152,882.21
  5. Step 5: Solve for x
    x = 78,152,882.21/9,497.55
  6. Step 6: Final answer
    x = 8,228.74

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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.