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Finding the Fourth Proportional to 9,423.83, 13,006.49 and 5,447.24

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Solution

The fourth proportional to 9,423.83, 13,006.49 and 5,447.24 is: 7,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.83 : 13,006.49 = 5,447.24 : x
  2. Step 2: Convert to fraction form
    9,423.83/13,006.49 = 5,447.24/x
  3. Step 3: Cross multiply
    9,423.83x = 13,006.49 × 5,447.24
  4. Step 4: Simplify right side
    9,423.83x = 70,849,445.35
  5. Step 5: Solve for x
    x = 70,849,445.35/9,423.83
  6. Step 6: Final answer
    x = 7,518.12

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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.