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Finding the Fourth Proportional to 9,477.34, 14,228.30 and 7,287.60

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Solution

The fourth proportional to 9,477.34, 14,228.30 and 7,287.60 is: 10,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.34 : 14,228.30 = 7,287.60 : x
  2. Step 2: Convert to fraction form
    9,477.34/14,228.30 = 7,287.60/x
  3. Step 3: Cross multiply
    9,477.34x = 14,228.30 × 7,287.60
  4. Step 4: Simplify right side
    9,477.34x = 103,690,159.08
  5. Step 5: Solve for x
    x = 103,690,159.08/9,477.34
  6. Step 6: Final answer
    x = 10,940.85

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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.