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Finding the Fourth Proportional to 9,925.10, 13,696.86 and 5,449.04

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Solution

The fourth proportional to 9,925.10, 13,696.86 and 5,449.04 is: 7,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.10 : 13,696.86 = 5,449.04 : x
  2. Step 2: Convert to fraction form
    9,925.10/13,696.86 = 5,449.04/x
  3. Step 3: Cross multiply
    9,925.10x = 13,696.86 × 5,449.04
  4. Step 4: Simplify right side
    9,925.10x = 74,634,772.26
  5. Step 5: Solve for x
    x = 74,634,772.26/9,925.10
  6. Step 6: Final answer
    x = 7,519.80

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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.