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Finding the Fourth Proportional to 9,596.69, 14,381.04 and 4,253.42

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Solution

The fourth proportional to 9,596.69, 14,381.04 and 4,253.42 is: 6,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.69 : 14,381.04 = 4,253.42 : x
  2. Step 2: Convert to fraction form
    9,596.69/14,381.04 = 4,253.42/x
  3. Step 3: Cross multiply
    9,596.69x = 14,381.04 × 4,253.42
  4. Step 4: Simplify right side
    9,596.69x = 61,168,603.16
  5. Step 5: Solve for x
    x = 61,168,603.16/9,596.69
  6. Step 6: Final answer
    x = 6,373.93

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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.