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Finding the Fourth Proportional to 9,407.90, 14,111.98 and 6,485.42

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Solution

The fourth proportional to 9,407.90, 14,111.98 and 6,485.42 is: 9,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.90 : 14,111.98 = 6,485.42 : x
  2. Step 2: Convert to fraction form
    9,407.90/14,111.98 = 6,485.42/x
  3. Step 3: Cross multiply
    9,407.90x = 14,111.98 × 6,485.42
  4. Step 4: Simplify right side
    9,407.90x = 91,522,117.33
  5. Step 5: Solve for x
    x = 91,522,117.33/9,407.90
  6. Step 6: Final answer
    x = 9,728.22

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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.