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Finding the Fourth Proportional to 9,478.94, 14,226.98 and 4,802.18

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Solution

The fourth proportional to 9,478.94, 14,226.98 and 4,802.18 is: 7,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.94 : 14,226.98 = 4,802.18 : x
  2. Step 2: Convert to fraction form
    9,478.94/14,226.98 = 4,802.18/x
  3. Step 3: Cross multiply
    9,478.94x = 14,226.98 × 4,802.18
  4. Step 4: Simplify right side
    9,478.94x = 68,320,423.67
  5. Step 5: Solve for x
    x = 68,320,423.67/9,478.94
  6. Step 6: Final answer
    x = 7,207.61

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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.