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Finding the Fourth Proportional to 9,925.16, 13,696.86 and 5,449.32

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Solution

The fourth proportional to 9,925.16, 13,696.86 and 5,449.32 is: 7,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.16 : 13,696.86 = 5,449.32 : x
  2. Step 2: Convert to fraction form
    9,925.16/13,696.86 = 5,449.32/x
  3. Step 3: Cross multiply
    9,925.16x = 13,696.86 × 5,449.32
  4. Step 4: Simplify right side
    9,925.16x = 74,638,573.14
  5. Step 5: Solve for x
    x = 74,638,573.14/9,925.16
  6. Step 6: Final answer
    x = 7,520.14

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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.