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Finding the Fourth Proportional to 9,548.01, 13,176.32 and 5,299.08

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Solution

The fourth proportional to 9,548.01, 13,176.32 and 5,299.08 is: 7,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.01 : 13,176.32 = 5,299.08 : x
  2. Step 2: Convert to fraction form
    9,548.01/13,176.32 = 5,299.08/x
  3. Step 3: Cross multiply
    9,548.01x = 13,176.32 × 5,299.08
  4. Step 4: Simplify right side
    9,548.01x = 69,822,347.29
  5. Step 5: Solve for x
    x = 69,822,347.29/9,548.01
  6. Step 6: Final answer
    x = 7,312.76

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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.