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Finding the Fourth Proportional to 9,596.31, 14,392.35 and 4,048.23

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Solution

The fourth proportional to 9,596.31, 14,392.35 and 4,048.23 is: 6,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.31 : 14,392.35 = 4,048.23 : x
  2. Step 2: Convert to fraction form
    9,596.31/14,392.35 = 4,048.23/x
  3. Step 3: Cross multiply
    9,596.31x = 14,392.35 × 4,048.23
  4. Step 4: Simplify right side
    9,596.31x = 58,263,543.04
  5. Step 5: Solve for x
    x = 58,263,543.04/9,596.31
  6. Step 6: Final answer
    x = 6,071.45

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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.