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Finding the Fourth Proportional to 9,765.90, 14,643.45 and 3,188.70

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Solution

The fourth proportional to 9,765.90, 14,643.45 and 3,188.70 is: 4,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.90 : 14,643.45 = 3,188.70 : x
  2. Step 2: Convert to fraction form
    9,765.90/14,643.45 = 3,188.70/x
  3. Step 3: Cross multiply
    9,765.90x = 14,643.45 × 3,188.70
  4. Step 4: Simplify right side
    9,765.90x = 46,693,569.02
  5. Step 5: Solve for x
    x = 46,693,569.02/9,765.90
  6. Step 6: Final answer
    x = 4,781.29

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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.