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Finding the Fourth Proportional to 9,485.22, 14,235.09 and 4,294.74

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Solution

The fourth proportional to 9,485.22, 14,235.09 and 4,294.74 is: 6,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.22 : 14,235.09 = 4,294.74 : x
  2. Step 2: Convert to fraction form
    9,485.22/14,235.09 = 4,294.74/x
  3. Step 3: Cross multiply
    9,485.22x = 14,235.09 × 4,294.74
  4. Step 4: Simplify right side
    9,485.22x = 61,136,010.43
  5. Step 5: Solve for x
    x = 61,136,010.43/9,485.22
  6. Step 6: Final answer
    x = 6,445.40

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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.