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Finding the Fourth Proportional to 9,141.93, 13,711.15 and 4,457.23

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Solution

The fourth proportional to 9,141.93, 13,711.15 and 4,457.23 is: 6,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.93 : 13,711.15 = 4,457.23 : x
  2. Step 2: Convert to fraction form
    9,141.93/13,711.15 = 4,457.23/x
  3. Step 3: Cross multiply
    9,141.93x = 13,711.15 × 4,457.23
  4. Step 4: Simplify right side
    9,141.93x = 61,113,749.11
  5. Step 5: Solve for x
    x = 61,113,749.11/9,141.93
  6. Step 6: Final answer
    x = 6,684.99

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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.