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Finding the Fourth Proportional to 9,059.84, 12,491.00 and 5,867.50

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Solution

The fourth proportional to 9,059.84, 12,491.00 and 5,867.50 is: 8,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.84 : 12,491.00 = 5,867.50 : x
  2. Step 2: Convert to fraction form
    9,059.84/12,491.00 = 5,867.50/x
  3. Step 3: Cross multiply
    9,059.84x = 12,491.00 × 5,867.50
  4. Step 4: Simplify right side
    9,059.84x = 73,290,894.71
  5. Step 5: Solve for x
    x = 73,290,894.71/9,059.84
  6. Step 6: Final answer
    x = 8,089.65

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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.