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Finding the Fourth Proportional to 9,554.29, 14,232.90 and 9,264.13

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Solution

The fourth proportional to 9,554.29, 14,232.90 and 9,264.13 is: 13,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.29 : 14,232.90 = 9,264.13 : x
  2. Step 2: Convert to fraction form
    9,554.29/14,232.90 = 9,264.13/x
  3. Step 3: Cross multiply
    9,554.29x = 14,232.90 × 9,264.13
  4. Step 4: Simplify right side
    9,554.29x = 131,855,435.88
  5. Step 5: Solve for x
    x = 131,855,435.88/9,554.29
  6. Step 6: Final answer
    x = 13,800.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.