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Finding the Fourth Proportional to 9,565.64, 13,199.12 and 5,373.08

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Solution

The fourth proportional to 9,565.64, 13,199.12 and 5,373.08 is: 7,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.64 : 13,199.12 = 5,373.08 : x
  2. Step 2: Convert to fraction form
    9,565.64/13,199.12 = 5,373.08/x
  3. Step 3: Cross multiply
    9,565.64x = 13,199.12 × 5,373.08
  4. Step 4: Simplify right side
    9,565.64x = 70,919,927.69
  5. Step 5: Solve for x
    x = 70,919,927.69/9,565.64
  6. Step 6: Final answer
    x = 7,414.03

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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.