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Finding the Fourth Proportional to 9,303.84, 12,838.50 and 5,767.20

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Solution

The fourth proportional to 9,303.84, 12,838.50 and 5,767.20 is: 7,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.84 : 12,838.50 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    9,303.84/12,838.50 = 5,767.20/x
  3. Step 3: Cross multiply
    9,303.84x = 12,838.50 × 5,767.20
  4. Step 4: Simplify right side
    9,303.84x = 74,042,197.20
  5. Step 5: Solve for x
    x = 74,042,197.20/9,303.84
  6. Step 6: Final answer
    x = 7,958.24

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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.