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Finding the Fourth Proportional to 9,123.96, 13,685.78 and 4,962.98

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Solution

The fourth proportional to 9,123.96, 13,685.78 and 4,962.98 is: 7,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.96 : 13,685.78 = 4,962.98 : x
  2. Step 2: Convert to fraction form
    9,123.96/13,685.78 = 4,962.98/x
  3. Step 3: Cross multiply
    9,123.96x = 13,685.78 × 4,962.98
  4. Step 4: Simplify right side
    9,123.96x = 67,922,252.42
  5. Step 5: Solve for x
    x = 67,922,252.42/9,123.96
  6. Step 6: Final answer
    x = 7,444.38

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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.