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Finding the Fourth Proportional to 9,759.88, 14,643.26 and 6,485.96

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Solution

The fourth proportional to 9,759.88, 14,643.26 and 6,485.96 is: 9,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.88 : 14,643.26 = 6,485.96 : x
  2. Step 2: Convert to fraction form
    9,759.88/14,643.26 = 6,485.96/x
  3. Step 3: Cross multiply
    9,759.88x = 14,643.26 × 6,485.96
  4. Step 4: Simplify right side
    9,759.88x = 94,975,598.63
  5. Step 5: Solve for x
    x = 94,975,598.63/9,759.88
  6. Step 6: Final answer
    x = 9,731.23

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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.