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Finding the Fourth Proportional to 9,925.47, 13,697.10 and 5,449.14

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Solution

The fourth proportional to 9,925.47, 13,697.10 and 5,449.14 is: 7,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.47 : 13,697.10 = 5,449.14 : x
  2. Step 2: Convert to fraction form
    9,925.47/13,697.10 = 5,449.14/x
  3. Step 3: Cross multiply
    9,925.47x = 13,697.10 × 5,449.14
  4. Step 4: Simplify right side
    9,925.47x = 74,637,415.49
  5. Step 5: Solve for x
    x = 74,637,415.49/9,925.47
  6. Step 6: Final answer
    x = 7,519.79

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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.