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Finding the Fourth Proportional to 9,783.72, 13,501.43 and 5,307.44

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Solution

The fourth proportional to 9,783.72, 13,501.43 and 5,307.44 is: 7,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.72 : 13,501.43 = 5,307.44 : x
  2. Step 2: Convert to fraction form
    9,783.72/13,501.43 = 5,307.44/x
  3. Step 3: Cross multiply
    9,783.72x = 13,501.43 × 5,307.44
  4. Step 4: Simplify right side
    9,783.72x = 71,658,029.64
  5. Step 5: Solve for x
    x = 71,658,029.64/9,783.72
  6. Step 6: Final answer
    x = 7,324.21

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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.