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Finding the Fourth Proportional to 9,654.34, 13,302.18 and 6,505.06

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Solution

The fourth proportional to 9,654.34, 13,302.18 and 6,505.06 is: 8,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.34 : 13,302.18 = 6,505.06 : x
  2. Step 2: Convert to fraction form
    9,654.34/13,302.18 = 6,505.06/x
  3. Step 3: Cross multiply
    9,654.34x = 13,302.18 × 6,505.06
  4. Step 4: Simplify right side
    9,654.34x = 86,531,479.03
  5. Step 5: Solve for x
    x = 86,531,479.03/9,654.34
  6. Step 6: Final answer
    x = 8,962.96

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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.