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Finding the Fourth Proportional to 9,732.76, 14,573.94 and 7,089.40

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Solution

The fourth proportional to 9,732.76, 14,573.94 and 7,089.40 is: 10,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.76 : 14,573.94 = 7,089.40 : x
  2. Step 2: Convert to fraction form
    9,732.76/14,573.94 = 7,089.40/x
  3. Step 3: Cross multiply
    9,732.76x = 14,573.94 × 7,089.40
  4. Step 4: Simplify right side
    9,732.76x = 103,320,490.24
  5. Step 5: Solve for x
    x = 103,320,490.24/9,732.76
  6. Step 6: Final answer
    x = 10,615.74

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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.