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Finding the Fourth Proportional to 9,783.72, 13,501.68 and 5,307.60

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Solution

The fourth proportional to 9,783.72, 13,501.68 and 5,307.60 is: 7,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.72 : 13,501.68 = 5,307.60 : x
  2. Step 2: Convert to fraction form
    9,783.72/13,501.68 = 5,307.60/x
  3. Step 3: Cross multiply
    9,783.72x = 13,501.68 × 5,307.60
  4. Step 4: Simplify right side
    9,783.72x = 71,661,516.77
  5. Step 5: Solve for x
    x = 71,661,516.77/9,783.72
  6. Step 6: Final answer
    x = 7,324.57

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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.