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Finding the Fourth Proportional to 9,389.34, 12,957.36 and 5,410.44

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Solution

The fourth proportional to 9,389.34, 12,957.36 and 5,410.44 is: 7,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.34 : 12,957.36 = 5,410.44 : x
  2. Step 2: Convert to fraction form
    9,389.34/12,957.36 = 5,410.44/x
  3. Step 3: Cross multiply
    9,389.34x = 12,957.36 × 5,410.44
  4. Step 4: Simplify right side
    9,389.34x = 70,105,018.84
  5. Step 5: Solve for x
    x = 70,105,018.84/9,389.34
  6. Step 6: Final answer
    x = 7,466.45

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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.