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Finding the Fourth Proportional to 9,672.60, 13,349.70 and 7,019.04

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Solution

The fourth proportional to 9,672.60, 13,349.70 and 7,019.04 is: 9,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.60 : 13,349.70 = 7,019.04 : x
  2. Step 2: Convert to fraction form
    9,672.60/13,349.70 = 7,019.04/x
  3. Step 3: Cross multiply
    9,672.60x = 13,349.70 × 7,019.04
  4. Step 4: Simplify right side
    9,672.60x = 93,702,078.29
  5. Step 5: Solve for x
    x = 93,702,078.29/9,672.60
  6. Step 6: Final answer
    x = 9,687.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.