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Finding the Fourth Proportional to 9,303.28, 12,838.80 and 5,325.66

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Solution

The fourth proportional to 9,303.28, 12,838.80 and 5,325.66 is: 7,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.28 : 12,838.80 = 5,325.66 : x
  2. Step 2: Convert to fraction form
    9,303.28/12,838.80 = 5,325.66/x
  3. Step 3: Cross multiply
    9,303.28x = 12,838.80 × 5,325.66
  4. Step 4: Simplify right side
    9,303.28x = 68,375,083.61
  5. Step 5: Solve for x
    x = 68,375,083.61/9,303.28
  6. Step 6: Final answer
    x = 7,349.57

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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.