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Finding the Fourth Proportional to 9,602.56, 13,254 and 6,253.72

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Solution

The fourth proportional to 9,602.56, 13,254 and 6,253.72 is: 8,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.56 : 13,254 = 6,253.72 : x
  2. Step 2: Convert to fraction form
    9,602.56/13,254 = 6,253.72/x
  3. Step 3: Cross multiply
    9,602.56x = 13,254 × 6,253.72
  4. Step 4: Simplify right side
    9,602.56x = 82,886,804.88
  5. Step 5: Solve for x
    x = 82,886,804.88/9,602.56
  6. Step 6: Final answer
    x = 8,631.74

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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.