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Finding the Fourth Proportional to 9,491.58, 14,227.65 and 4,802.90

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Solution

The fourth proportional to 9,491.58, 14,227.65 and 4,802.90 is: 7,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.58 : 14,227.65 = 4,802.90 : x
  2. Step 2: Convert to fraction form
    9,491.58/14,227.65 = 4,802.90/x
  3. Step 3: Cross multiply
    9,491.58x = 14,227.65 × 4,802.90
  4. Step 4: Simplify right side
    9,491.58x = 68,333,909.05
  5. Step 5: Solve for x
    x = 68,333,909.05/9,491.58
  6. Step 6: Final answer
    x = 7,199.42

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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.