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Finding the Fourth Proportional to 9,925.46, 13,696.74 and 5,449.10

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Solution

The fourth proportional to 9,925.46, 13,696.74 and 5,449.10 is: 7,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.46 : 13,696.74 = 5,449.10 : x
  2. Step 2: Convert to fraction form
    9,925.46/13,696.74 = 5,449.10/x
  3. Step 3: Cross multiply
    9,925.46x = 13,696.74 × 5,449.10
  4. Step 4: Simplify right side
    9,925.46x = 74,634,837.45
  5. Step 5: Solve for x
    x = 74,634,837.45/9,925.46
  6. Step 6: Final answer
    x = 7,519.54

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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.