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Finding the Fourth Proportional to 9,715.41, 14,570.28 and 5,554.65

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Solution

The fourth proportional to 9,715.41, 14,570.28 and 5,554.65 is: 8,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.41 : 14,570.28 = 5,554.65 : x
  2. Step 2: Convert to fraction form
    9,715.41/14,570.28 = 5,554.65/x
  3. Step 3: Cross multiply
    9,715.41x = 14,570.28 × 5,554.65
  4. Step 4: Simplify right side
    9,715.41x = 80,932,805.80
  5. Step 5: Solve for x
    x = 80,932,805.80/9,715.41
  6. Step 6: Final answer
    x = 8,330.35

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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.