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Finding the Fourth Proportional to 9,677.58, 14,521.36 and 4,129.42

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Solution

The fourth proportional to 9,677.58, 14,521.36 and 4,129.42 is: 6,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.58 : 14,521.36 = 4,129.42 : x
  2. Step 2: Convert to fraction form
    9,677.58/14,521.36 = 4,129.42/x
  3. Step 3: Cross multiply
    9,677.58x = 14,521.36 × 4,129.42
  4. Step 4: Simplify right side
    9,677.58x = 59,964,794.41
  5. Step 5: Solve for x
    x = 59,964,794.41/9,677.58
  6. Step 6: Final answer
    x = 6,196.26

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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.