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Finding the Fourth Proportional to 9,537, 14,288.82 and 6,617.16

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Solution

The fourth proportional to 9,537, 14,288.82 and 6,617.16 is: 9,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 14,288.82 = 6,617.16 : x
  2. Step 2: Convert to fraction form
    9,537/14,288.82 = 6,617.16/x
  3. Step 3: Cross multiply
    9,537x = 14,288.82 × 6,617.16
  4. Step 4: Simplify right side
    9,537x = 94,551,408.15
  5. Step 5: Solve for x
    x = 94,551,408.15/9,537
  6. Step 6: Final answer
    x = 9,914.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.