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Finding the Fourth Proportional to 9,408.46, 12,983.16 and 5,429.35

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Solution

The fourth proportional to 9,408.46, 12,983.16 and 5,429.35 is: 7,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.46 : 12,983.16 = 5,429.35 : x
  2. Step 2: Convert to fraction form
    9,408.46/12,983.16 = 5,429.35/x
  3. Step 3: Cross multiply
    9,408.46x = 12,983.16 × 5,429.35
  4. Step 4: Simplify right side
    9,408.46x = 70,490,119.75
  5. Step 5: Solve for x
    x = 70,490,119.75/9,408.46
  6. Step 6: Final answer
    x = 7,492.21

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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.