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Finding the Fourth Proportional to 9,644.36, 13,315.02 and 6,292.98

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Solution

The fourth proportional to 9,644.36, 13,315.02 and 6,292.98 is: 8,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.36 : 13,315.02 = 6,292.98 : x
  2. Step 2: Convert to fraction form
    9,644.36/13,315.02 = 6,292.98/x
  3. Step 3: Cross multiply
    9,644.36x = 13,315.02 × 6,292.98
  4. Step 4: Simplify right side
    9,644.36x = 83,791,154.56
  5. Step 5: Solve for x
    x = 83,791,154.56/9,644.36
  6. Step 6: Final answer
    x = 8,688.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.