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Finding the Fourth Proportional to 9,784.41, 14,651.55 and 5,397

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Solution

The fourth proportional to 9,784.41, 14,651.55 and 5,397 is: 8,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.41 : 14,651.55 = 5,397 : x
  2. Step 2: Convert to fraction form
    9,784.41/14,651.55 = 5,397/x
  3. Step 3: Cross multiply
    9,784.41x = 14,651.55 × 5,397
  4. Step 4: Simplify right side
    9,784.41x = 79,074,415.35
  5. Step 5: Solve for x
    x = 79,074,415.35/9,784.41
  6. Step 6: Final answer
    x = 8,081.67

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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.