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Finding the Fourth Proportional to 9,470.80, 14,185.85 and 7,683.84

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Solution

The fourth proportional to 9,470.80, 14,185.85 and 7,683.84 is: 11,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.80 : 14,185.85 = 7,683.84 : x
  2. Step 2: Convert to fraction form
    9,470.80/14,185.85 = 7,683.84/x
  3. Step 3: Cross multiply
    9,470.80x = 14,185.85 × 7,683.84
  4. Step 4: Simplify right side
    9,470.80x = 109,001,763.24
  5. Step 5: Solve for x
    x = 109,001,763.24/9,470.80
  6. Step 6: Final answer
    x = 11,509.25

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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.