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Finding the Fourth Proportional to 9,557.64, 13,189.14 and 5,308.86

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Solution

The fourth proportional to 9,557.64, 13,189.14 and 5,308.86 is: 7,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.64 : 13,189.14 = 5,308.86 : x
  2. Step 2: Convert to fraction form
    9,557.64/13,189.14 = 5,308.86/x
  3. Step 3: Cross multiply
    9,557.64x = 13,189.14 × 5,308.86
  4. Step 4: Simplify right side
    9,557.64x = 70,019,297.78
  5. Step 5: Solve for x
    x = 70,019,297.78/9,557.64
  6. Step 6: Final answer
    x = 7,326.00

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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.