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Finding the Fourth Proportional to 9,683.04, 13,365.22 and 5,705.40

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Solution

The fourth proportional to 9,683.04, 13,365.22 and 5,705.40 is: 7,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.04 : 13,365.22 = 5,705.40 : x
  2. Step 2: Convert to fraction form
    9,683.04/13,365.22 = 5,705.40/x
  3. Step 3: Cross multiply
    9,683.04x = 13,365.22 × 5,705.40
  4. Step 4: Simplify right side
    9,683.04x = 76,253,972.74
  5. Step 5: Solve for x
    x = 76,253,972.74/9,683.04
  6. Step 6: Final answer
    x = 7,875.00

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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.