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Finding the Fourth Proportional to 9,666.44, 13,338.90 and 5,417.16

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Solution

The fourth proportional to 9,666.44, 13,338.90 and 5,417.16 is: 7,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.44 : 13,338.90 = 5,417.16 : x
  2. Step 2: Convert to fraction form
    9,666.44/13,338.90 = 5,417.16/x
  3. Step 3: Cross multiply
    9,666.44x = 13,338.90 × 5,417.16
  4. Step 4: Simplify right side
    9,666.44x = 72,258,955.52
  5. Step 5: Solve for x
    x = 72,258,955.52/9,666.44
  6. Step 6: Final answer
    x = 7,475.24

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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.