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Finding the Fourth Proportional to 9,278.75, 12,807.09 and 5,301.24

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Solution

The fourth proportional to 9,278.75, 12,807.09 and 5,301.24 is: 7,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.75 : 12,807.09 = 5,301.24 : x
  2. Step 2: Convert to fraction form
    9,278.75/12,807.09 = 5,301.24/x
  3. Step 3: Cross multiply
    9,278.75x = 12,807.09 × 5,301.24
  4. Step 4: Simplify right side
    9,278.75x = 67,893,457.79
  5. Step 5: Solve for x
    x = 67,893,457.79/9,278.75
  6. Step 6: Final answer
    x = 7,317.09

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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.