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Finding the Fourth Proportional to 9,644.19, 14,463.76 and 4,094.67

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Solution

The fourth proportional to 9,644.19, 14,463.76 and 4,094.67 is: 6,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.19 : 14,463.76 = 4,094.67 : x
  2. Step 2: Convert to fraction form
    9,644.19/14,463.76 = 4,094.67/x
  3. Step 3: Cross multiply
    9,644.19x = 14,463.76 × 4,094.67
  4. Step 4: Simplify right side
    9,644.19x = 59,224,324.16
  5. Step 5: Solve for x
    x = 59,224,324.16/9,644.19
  6. Step 6: Final answer
    x = 6,140.93

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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.