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Finding the Fourth Proportional to 9,706.29, 14,546.27 and 4,434.77

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Solution

The fourth proportional to 9,706.29, 14,546.27 and 4,434.77 is: 6,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.29 : 14,546.27 = 4,434.77 : x
  2. Step 2: Convert to fraction form
    9,706.29/14,546.27 = 4,434.77/x
  3. Step 3: Cross multiply
    9,706.29x = 14,546.27 × 4,434.77
  4. Step 4: Simplify right side
    9,706.29x = 64,509,266.90
  5. Step 5: Solve for x
    x = 64,509,266.90/9,706.29
  6. Step 6: Final answer
    x = 6,646.13

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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.