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Finding the Fourth Proportional to 9,673.90, 14,502.93 and 4,122.70

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Solution

The fourth proportional to 9,673.90, 14,502.93 and 4,122.70 is: 6,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.90 : 14,502.93 = 4,122.70 : x
  2. Step 2: Convert to fraction form
    9,673.90/14,502.93 = 4,122.70/x
  3. Step 3: Cross multiply
    9,673.90x = 14,502.93 × 4,122.70
  4. Step 4: Simplify right side
    9,673.90x = 59,791,229.51
  5. Step 5: Solve for x
    x = 59,791,229.51/9,673.90
  6. Step 6: Final answer
    x = 6,180.67

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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.