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Finding the Fourth Proportional to 9,782.37, 14,648.31 and 6,485.13

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Solution

The fourth proportional to 9,782.37, 14,648.31 and 6,485.13 is: 9,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.37 : 14,648.31 = 6,485.13 : x
  2. Step 2: Convert to fraction form
    9,782.37/14,648.31 = 6,485.13/x
  3. Step 3: Cross multiply
    9,782.37x = 14,648.31 × 6,485.13
  4. Step 4: Simplify right side
    9,782.37x = 94,996,194.63
  5. Step 5: Solve for x
    x = 94,996,194.63/9,782.37
  6. Step 6: Final answer
    x = 9,710.96

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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.