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Finding the Fourth Proportional to 9,785.56, 14,658.90 and 5,392.12

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Solution

The fourth proportional to 9,785.56, 14,658.90 and 5,392.12 is: 8,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.56 : 14,658.90 = 5,392.12 : x
  2. Step 2: Convert to fraction form
    9,785.56/14,658.90 = 5,392.12/x
  3. Step 3: Cross multiply
    9,785.56x = 14,658.90 × 5,392.12
  4. Step 4: Simplify right side
    9,785.56x = 79,042,547.87
  5. Step 5: Solve for x
    x = 79,042,547.87/9,785.56
  6. Step 6: Final answer
    x = 8,077.47

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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.