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Finding the Fourth Proportional to 9,438.66, 13,024.94 and 5,664.06

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Solution

The fourth proportional to 9,438.66, 13,024.94 and 5,664.06 is: 7,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.66 : 13,024.94 = 5,664.06 : x
  2. Step 2: Convert to fraction form
    9,438.66/13,024.94 = 5,664.06/x
  3. Step 3: Cross multiply
    9,438.66x = 13,024.94 × 5,664.06
  4. Step 4: Simplify right side
    9,438.66x = 73,774,013.34
  5. Step 5: Solve for x
    x = 73,774,013.34/9,438.66
  6. Step 6: Final answer
    x = 7,816.15

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Why These Related Problems?

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