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Finding the Fourth Proportional to 9,592.36, 14,392.86 and 4,666.48

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Solution

The fourth proportional to 9,592.36, 14,392.86 and 4,666.48 is: 7,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.36 : 14,392.86 = 4,666.48 : x
  2. Step 2: Convert to fraction form
    9,592.36/14,392.86 = 4,666.48/x
  3. Step 3: Cross multiply
    9,592.36x = 14,392.86 × 4,666.48
  4. Step 4: Simplify right side
    9,592.36x = 67,163,993.33
  5. Step 5: Solve for x
    x = 67,163,993.33/9,592.36
  6. Step 6: Final answer
    x = 7,001.82

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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.