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Finding the Fourth Proportional to 9,856.98, 14,785.95 and 3,700.50

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Solution

The fourth proportional to 9,856.98, 14,785.95 and 3,700.50 is: 5,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.98 : 14,785.95 = 3,700.50 : x
  2. Step 2: Convert to fraction form
    9,856.98/14,785.95 = 3,700.50/x
  3. Step 3: Cross multiply
    9,856.98x = 14,785.95 × 3,700.50
  4. Step 4: Simplify right side
    9,856.98x = 54,715,407.98
  5. Step 5: Solve for x
    x = 54,715,407.98/9,856.98
  6. Step 6: Final answer
    x = 5,550.93

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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.