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Finding the Fourth Proportional to 9,693.71, 14,543.07 and 4,068.36

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Solution

The fourth proportional to 9,693.71, 14,543.07 and 4,068.36 is: 6,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.71 : 14,543.07 = 4,068.36 : x
  2. Step 2: Convert to fraction form
    9,693.71/14,543.07 = 4,068.36/x
  3. Step 3: Cross multiply
    9,693.71x = 14,543.07 × 4,068.36
  4. Step 4: Simplify right side
    9,693.71x = 59,166,444.27
  5. Step 5: Solve for x
    x = 59,166,444.27/9,693.71
  6. Step 6: Final answer
    x = 6,103.59

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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.