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Finding the Fourth Proportional to 9,567.63, 14,330.57 and 6,785.87

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Solution

The fourth proportional to 9,567.63, 14,330.57 and 6,785.87 is: 10,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.63 : 14,330.57 = 6,785.87 : x
  2. Step 2: Convert to fraction form
    9,567.63/14,330.57 = 6,785.87/x
  3. Step 3: Cross multiply
    9,567.63x = 14,330.57 × 6,785.87
  4. Step 4: Simplify right side
    9,567.63x = 97,245,279.46
  5. Step 5: Solve for x
    x = 97,245,279.46/9,567.63
  6. Step 6: Final answer
    x = 10,163.99

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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.