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Finding the Fourth Proportional to 9,158, 12,638.04 and 4,966.26

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Solution

The fourth proportional to 9,158, 12,638.04 and 4,966.26 is: 6,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158 : 12,638.04 = 4,966.26 : x
  2. Step 2: Convert to fraction form
    9,158/12,638.04 = 4,966.26/x
  3. Step 3: Cross multiply
    9,158x = 12,638.04 × 4,966.26
  4. Step 4: Simplify right side
    9,158x = 62,763,792.53
  5. Step 5: Solve for x
    x = 62,763,792.53/9,158
  6. Step 6: Final answer
    x = 6,853.44

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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.