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Finding the Fourth Proportional to 9,386.56, 14,066.68 and 7,297

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Solution

The fourth proportional to 9,386.56, 14,066.68 and 7,297 is: 10,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.56 : 14,066.68 = 7,297 : x
  2. Step 2: Convert to fraction form
    9,386.56/14,066.68 = 7,297/x
  3. Step 3: Cross multiply
    9,386.56x = 14,066.68 × 7,297
  4. Step 4: Simplify right side
    9,386.56x = 102,644,563.96
  5. Step 5: Solve for x
    x = 102,644,563.96/9,386.56
  6. Step 6: Final answer
    x = 10,935.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.