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Finding the Fourth Proportional to 9,376.96, 14,066.40 and 3,538.48

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Solution

The fourth proportional to 9,376.96, 14,066.40 and 3,538.48 is: 5,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.96 : 14,066.40 = 3,538.48 : x
  2. Step 2: Convert to fraction form
    9,376.96/14,066.40 = 3,538.48/x
  3. Step 3: Cross multiply
    9,376.96x = 14,066.40 × 3,538.48
  4. Step 4: Simplify right side
    9,376.96x = 49,773,675.07
  5. Step 5: Solve for x
    x = 49,773,675.07/9,376.96
  6. Step 6: Final answer
    x = 5,308.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.