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Finding the Fourth Proportional to 9,495.64, 14,248.50 and 3,655.96

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Solution

The fourth proportional to 9,495.64, 14,248.50 and 3,655.96 is: 5,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.64 : 14,248.50 = 3,655.96 : x
  2. Step 2: Convert to fraction form
    9,495.64/14,248.50 = 3,655.96/x
  3. Step 3: Cross multiply
    9,495.64x = 14,248.50 × 3,655.96
  4. Step 4: Simplify right side
    9,495.64x = 52,091,946.06
  5. Step 5: Solve for x
    x = 52,091,946.06/9,495.64
  6. Step 6: Final answer
    x = 5,485.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.