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Finding the Fourth Proportional to 9,693.59, 14,543.23 and 3,119.60

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Solution

The fourth proportional to 9,693.59, 14,543.23 and 3,119.60 is: 4,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.59 : 14,543.23 = 3,119.60 : x
  2. Step 2: Convert to fraction form
    9,693.59/14,543.23 = 3,119.60/x
  3. Step 3: Cross multiply
    9,693.59x = 14,543.23 × 3,119.60
  4. Step 4: Simplify right side
    9,693.59x = 45,369,060.31
  5. Step 5: Solve for x
    x = 45,369,060.31/9,693.59
  6. Step 6: Final answer
    x = 4,680.32

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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.