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Finding the Fourth Proportional to 9,284.25, 12,814.03 and 7,263.63

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Solution

The fourth proportional to 9,284.25, 12,814.03 and 7,263.63 is: 10,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.25 : 12,814.03 = 7,263.63 : x
  2. Step 2: Convert to fraction form
    9,284.25/12,814.03 = 7,263.63/x
  3. Step 3: Cross multiply
    9,284.25x = 12,814.03 × 7,263.63
  4. Step 4: Simplify right side
    9,284.25x = 93,076,386.60
  5. Step 5: Solve for x
    x = 93,076,386.60/9,284.25
  6. Step 6: Final answer
    x = 10,025.20

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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.