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Finding the Fourth Proportional to 9,585.83, 14,360.91 and 5,206.97

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Solution

The fourth proportional to 9,585.83, 14,360.91 and 5,206.97 is: 7,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.83 : 14,360.91 = 5,206.97 : x
  2. Step 2: Convert to fraction form
    9,585.83/14,360.91 = 5,206.97/x
  3. Step 3: Cross multiply
    9,585.83x = 14,360.91 × 5,206.97
  4. Step 4: Simplify right side
    9,585.83x = 74,776,755.74
  5. Step 5: Solve for x
    x = 74,776,755.74/9,585.83
  6. Step 6: Final answer
    x = 7,800.76

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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.