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Finding the Fourth Proportional to 9,570.38, 14,358.49 and 4,893.67

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Solution

The fourth proportional to 9,570.38, 14,358.49 and 4,893.67 is: 7,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.38 : 14,358.49 = 4,893.67 : x
  2. Step 2: Convert to fraction form
    9,570.38/14,358.49 = 4,893.67/x
  3. Step 3: Cross multiply
    9,570.38x = 14,358.49 × 4,893.67
  4. Step 4: Simplify right side
    9,570.38x = 70,265,744.39
  5. Step 5: Solve for x
    x = 70,265,744.39/9,570.38
  6. Step 6: Final answer
    x = 7,342.00

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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.