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Finding the Fourth Proportional to 9,748.56, 13,437.72 and 8,567.60

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Solution

The fourth proportional to 9,748.56, 13,437.72 and 8,567.60 is: 11,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.56 : 13,437.72 = 8,567.60 : x
  2. Step 2: Convert to fraction form
    9,748.56/13,437.72 = 8,567.60/x
  3. Step 3: Cross multiply
    9,748.56x = 13,437.72 × 8,567.60
  4. Step 4: Simplify right side
    9,748.56x = 115,129,009.87
  5. Step 5: Solve for x
    x = 115,129,009.87/9,748.56
  6. Step 6: Final answer
    x = 11,809.85

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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.