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Finding the Fourth Proportional to 9,402.84, 12,977.28 and 5,423.16

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Solution

The fourth proportional to 9,402.84, 12,977.28 and 5,423.16 is: 7,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.84 : 12,977.28 = 5,423.16 : x
  2. Step 2: Convert to fraction form
    9,402.84/12,977.28 = 5,423.16/x
  3. Step 3: Cross multiply
    9,402.84x = 12,977.28 × 5,423.16
  4. Step 4: Simplify right side
    9,402.84x = 70,377,865.80
  5. Step 5: Solve for x
    x = 70,377,865.80/9,402.84
  6. Step 6: Final answer
    x = 7,484.75

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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.