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Finding the Fourth Proportional to 9,502.18, 14,239.50 and 6,537.58

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Solution

The fourth proportional to 9,502.18, 14,239.50 and 6,537.58 is: 9,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.18 : 14,239.50 = 6,537.58 : x
  2. Step 2: Convert to fraction form
    9,502.18/14,239.50 = 6,537.58/x
  3. Step 3: Cross multiply
    9,502.18x = 14,239.50 × 6,537.58
  4. Step 4: Simplify right side
    9,502.18x = 93,091,870.41
  5. Step 5: Solve for x
    x = 93,091,870.41/9,502.18
  6. Step 6: Final answer
    x = 9,796.90

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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.