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Finding the Fourth Proportional to 9,735.25, 14,612.10 and 6,026.26

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Solution

The fourth proportional to 9,735.25, 14,612.10 and 6,026.26 is: 9,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.25 : 14,612.10 = 6,026.26 : x
  2. Step 2: Convert to fraction form
    9,735.25/14,612.10 = 6,026.26/x
  3. Step 3: Cross multiply
    9,735.25x = 14,612.10 × 6,026.26
  4. Step 4: Simplify right side
    9,735.25x = 88,056,313.75
  5. Step 5: Solve for x
    x = 88,056,313.75/9,735.25
  6. Step 6: Final answer
    x = 9,045.10

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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.