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Finding the Fourth Proportional to 9,816.65, 13,542.59 and 6,628.93

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Solution

The fourth proportional to 9,816.65, 13,542.59 and 6,628.93 is: 9,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.65 : 13,542.59 = 6,628.93 : x
  2. Step 2: Convert to fraction form
    9,816.65/13,542.59 = 6,628.93/x
  3. Step 3: Cross multiply
    9,816.65x = 13,542.59 × 6,628.93
  4. Step 4: Simplify right side
    9,816.65x = 89,772,802.85
  5. Step 5: Solve for x
    x = 89,772,802.85/9,816.65
  6. Step 6: Final answer
    x = 9,144.95

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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.