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Finding the Fourth Proportional to 9,200.37, 13,782.47 and 6,070.82

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Solution

The fourth proportional to 9,200.37, 13,782.47 and 6,070.82 is: 9,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.37 : 13,782.47 = 6,070.82 : x
  2. Step 2: Convert to fraction form
    9,200.37/13,782.47 = 6,070.82/x
  3. Step 3: Cross multiply
    9,200.37x = 13,782.47 × 6,070.82
  4. Step 4: Simplify right side
    9,200.37x = 83,670,795.26
  5. Step 5: Solve for x
    x = 83,670,795.26/9,200.37
  6. Step 6: Final answer
    x = 9,094.29

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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.