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Finding the Fourth Proportional to 9,298.95, 12,828.25 and 5,519.97

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Solution

The fourth proportional to 9,298.95, 12,828.25 and 5,519.97 is: 7,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.95 : 12,828.25 = 5,519.97 : x
  2. Step 2: Convert to fraction form
    9,298.95/12,828.25 = 5,519.97/x
  3. Step 3: Cross multiply
    9,298.95x = 12,828.25 × 5,519.97
  4. Step 4: Simplify right side
    9,298.95x = 70,811,541.35
  5. Step 5: Solve for x
    x = 70,811,541.35/9,298.95
  6. Step 6: Final answer
    x = 7,615.00

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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.