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Finding the Fourth Proportional to 9,685.45, 14,509.65 and 6,550.05

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Solution

The fourth proportional to 9,685.45, 14,509.65 and 6,550.05 is: 9,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.45 : 14,509.65 = 6,550.05 : x
  2. Step 2: Convert to fraction form
    9,685.45/14,509.65 = 6,550.05/x
  3. Step 3: Cross multiply
    9,685.45x = 14,509.65 × 6,550.05
  4. Step 4: Simplify right side
    9,685.45x = 95,038,975.11
  5. Step 5: Solve for x
    x = 95,038,975.11/9,685.45
  6. Step 6: Final answer
    x = 9,812.55

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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.