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Finding the Fourth Proportional to 9,263.40, 12,783.62 and 5,230.46

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Solution

The fourth proportional to 9,263.40, 12,783.62 and 5,230.46 is: 7,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.40 : 12,783.62 = 5,230.46 : x
  2. Step 2: Convert to fraction form
    9,263.40/12,783.62 = 5,230.46/x
  3. Step 3: Cross multiply
    9,263.40x = 12,783.62 × 5,230.46
  4. Step 4: Simplify right side
    9,263.40x = 66,864,162.22
  5. Step 5: Solve for x
    x = 66,864,162.22/9,263.40
  6. Step 6: Final answer
    x = 7,218.10

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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.