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Finding the Fourth Proportional to 9,862.17, 14,792.63 and 4,018.64

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Solution

The fourth proportional to 9,862.17, 14,792.63 and 4,018.64 is: 6,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.17 : 14,792.63 = 4,018.64 : x
  2. Step 2: Convert to fraction form
    9,862.17/14,792.63 = 4,018.64/x
  3. Step 3: Cross multiply
    9,862.17x = 14,792.63 × 4,018.64
  4. Step 4: Simplify right side
    9,862.17x = 59,446,160.57
  5. Step 5: Solve for x
    x = 59,446,160.57/9,862.17
  6. Step 6: Final answer
    x = 6,027.70

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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.