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Finding the Fourth Proportional to 9,681.94, 14,505.90 and 6,904.46

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Solution

The fourth proportional to 9,681.94, 14,505.90 and 6,904.46 is: 10,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.94 : 14,505.90 = 6,904.46 : x
  2. Step 2: Convert to fraction form
    9,681.94/14,505.90 = 6,904.46/x
  3. Step 3: Cross multiply
    9,681.94x = 14,505.90 × 6,904.46
  4. Step 4: Simplify right side
    9,681.94x = 100,155,406.31
  5. Step 5: Solve for x
    x = 100,155,406.31/9,681.94
  6. Step 6: Final answer
    x = 10,344.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.