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Finding the Fourth Proportional to 9,704.61, 14,557.23 and 7,594.29

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Solution

The fourth proportional to 9,704.61, 14,557.23 and 7,594.29 is: 11,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.61 : 14,557.23 = 7,594.29 : x
  2. Step 2: Convert to fraction form
    9,704.61/14,557.23 = 7,594.29/x
  3. Step 3: Cross multiply
    9,704.61x = 14,557.23 × 7,594.29
  4. Step 4: Simplify right side
    9,704.61x = 110,551,826.22
  5. Step 5: Solve for x
    x = 110,551,826.22/9,704.61
  6. Step 6: Final answer
    x = 11,391.68

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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.