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Finding the Fourth Proportional to 9,389.67, 14,085.99 and 4,709.76

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Solution

The fourth proportional to 9,389.67, 14,085.99 and 4,709.76 is: 7,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.67 : 14,085.99 = 4,709.76 : x
  2. Step 2: Convert to fraction form
    9,389.67/14,085.99 = 4,709.76/x
  3. Step 3: Cross multiply
    9,389.67x = 14,085.99 × 4,709.76
  4. Step 4: Simplify right side
    9,389.67x = 66,341,632.26
  5. Step 5: Solve for x
    x = 66,341,632.26/9,389.67
  6. Step 6: Final answer
    x = 7,065.38

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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.