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Finding the Fourth Proportional to 9,443.42, 13,032.60 and 5,666.49

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Solution

The fourth proportional to 9,443.42, 13,032.60 and 5,666.49 is: 7,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.42 : 13,032.60 = 5,666.49 : x
  2. Step 2: Convert to fraction form
    9,443.42/13,032.60 = 5,666.49/x
  3. Step 3: Cross multiply
    9,443.42x = 13,032.60 × 5,666.49
  4. Step 4: Simplify right side
    9,443.42x = 73,849,076.32
  5. Step 5: Solve for x
    x = 73,849,076.32/9,443.42
  6. Step 6: Final answer
    x = 7,820.16

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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.