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Finding the Fourth Proportional to 10,409.11, 14,369.27 and 7,233.13

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Solution

The fourth proportional to 10,409.11, 14,369.27 and 7,233.13 is: 9,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.11 : 14,369.27 = 7,233.13 : x
  2. Step 2: Convert to fraction form
    10,409.11/14,369.27 = 7,233.13/x
  3. Step 3: Cross multiply
    10,409.11x = 14,369.27 × 7,233.13
  4. Step 4: Simplify right side
    10,409.11x = 103,934,779.71
  5. Step 5: Solve for x
    x = 103,934,779.71/10,409.11
  6. Step 6: Final answer
    x = 9,984.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.