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Finding the Fourth Proportional to 9,856.68, 14,792.57 and 4,018.20

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Solution

The fourth proportional to 9,856.68, 14,792.57 and 4,018.20 is: 6,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.68 : 14,792.57 = 4,018.20 : x
  2. Step 2: Convert to fraction form
    9,856.68/14,792.57 = 4,018.20/x
  3. Step 3: Cross multiply
    9,856.68x = 14,792.57 × 4,018.20
  4. Step 4: Simplify right side
    9,856.68x = 59,439,504.77
  5. Step 5: Solve for x
    x = 59,439,504.77/9,856.68
  6. Step 6: Final answer
    x = 6,030.38

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