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Finding the Fourth Proportional to 9,377.64, 14,066.08 and 2,357.71

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Solution

The fourth proportional to 9,377.64, 14,066.08 and 2,357.71 is: 3,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.64 : 14,066.08 = 2,357.71 : x
  2. Step 2: Convert to fraction form
    9,377.64/14,066.08 = 2,357.71/x
  3. Step 3: Cross multiply
    9,377.64x = 14,066.08 × 2,357.71
  4. Step 4: Simplify right side
    9,377.64x = 33,163,655.36
  5. Step 5: Solve for x
    x = 33,163,655.36/9,377.64
  6. Step 6: Final answer
    x = 3,536.46

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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.