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Finding the Fourth Proportional to 9,352.98, 12,908.24 and 5,374.08

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Solution

The fourth proportional to 9,352.98, 12,908.24 and 5,374.08 is: 7,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.98 : 12,908.24 = 5,374.08 : x
  2. Step 2: Convert to fraction form
    9,352.98/12,908.24 = 5,374.08/x
  3. Step 3: Cross multiply
    9,352.98x = 12,908.24 × 5,374.08
  4. Step 4: Simplify right side
    9,352.98x = 69,369,914.42
  5. Step 5: Solve for x
    x = 69,369,914.42/9,352.98
  6. Step 6: Final answer
    x = 7,416.88

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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.