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Finding the Fourth Proportional to 9,788.93, 14,671.09 and 7,021

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Solution

The fourth proportional to 9,788.93, 14,671.09 and 7,021 is: 10,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.93 : 14,671.09 = 7,021 : x
  2. Step 2: Convert to fraction form
    9,788.93/14,671.09 = 7,021/x
  3. Step 3: Cross multiply
    9,788.93x = 14,671.09 × 7,021
  4. Step 4: Simplify right side
    9,788.93x = 103,005,722.89
  5. Step 5: Solve for x
    x = 103,005,722.89/9,788.93
  6. Step 6: Final answer
    x = 10,522.67

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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.