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Finding the Fourth Proportional to 9,123.84, 12,587.81 and 5,346.41

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Solution

The fourth proportional to 9,123.84, 12,587.81 and 5,346.41 is: 7,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.84 : 12,587.81 = 5,346.41 : x
  2. Step 2: Convert to fraction form
    9,123.84/12,587.81 = 5,346.41/x
  3. Step 3: Cross multiply
    9,123.84x = 12,587.81 × 5,346.41
  4. Step 4: Simplify right side
    9,123.84x = 67,299,503.59
  5. Step 5: Solve for x
    x = 67,299,503.59/9,123.84
  6. Step 6: Final answer
    x = 7,376.23

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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.