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Finding the Fourth Proportional to 6,501.72, 9,749.88 and 4,032.84

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Solution

The fourth proportional to 6,501.72, 9,749.88 and 4,032.84 is: 6,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.72 : 9,749.88 = 4,032.84 : x
  2. Step 2: Convert to fraction form
    6,501.72/9,749.88 = 4,032.84/x
  3. Step 3: Cross multiply
    6,501.72x = 9,749.88 × 4,032.84
  4. Step 4: Simplify right side
    6,501.72x = 39,319,706.06
  5. Step 5: Solve for x
    x = 39,319,706.06/6,501.72
  6. Step 6: Final answer
    x = 6,047.59

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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.