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Finding the Fourth Proportional to 9,715.30, 14,583.90 and 6,434.80

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Solution

The fourth proportional to 9,715.30, 14,583.90 and 6,434.80 is: 9,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.30 : 14,583.90 = 6,434.80 : x
  2. Step 2: Convert to fraction form
    9,715.30/14,583.90 = 6,434.80/x
  3. Step 3: Cross multiply
    9,715.30x = 14,583.90 × 6,434.80
  4. Step 4: Simplify right side
    9,715.30x = 93,844,479.72
  5. Step 5: Solve for x
    x = 93,844,479.72/9,715.30
  6. Step 6: Final answer
    x = 9,659.45

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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.