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Finding the Fourth Proportional to 9,672.61, 14,490.23 and 7,135.23

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Solution

The fourth proportional to 9,672.61, 14,490.23 and 7,135.23 is: 10,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.61 : 14,490.23 = 7,135.23 : x
  2. Step 2: Convert to fraction form
    9,672.61/14,490.23 = 7,135.23/x
  3. Step 3: Cross multiply
    9,672.61x = 14,490.23 × 7,135.23
  4. Step 4: Simplify right side
    9,672.61x = 103,391,182.60
  5. Step 5: Solve for x
    x = 103,391,182.60/9,672.61
  6. Step 6: Final answer
    x = 10,689.07

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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.