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Finding the Fourth Proportional to 9,702.48, 14,553.81 and 3,860.58

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Solution

The fourth proportional to 9,702.48, 14,553.81 and 3,860.58 is: 5,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.48 : 14,553.81 = 3,860.58 : x
  2. Step 2: Convert to fraction form
    9,702.48/14,553.81 = 3,860.58/x
  3. Step 3: Cross multiply
    9,702.48x = 14,553.81 × 3,860.58
  4. Step 4: Simplify right side
    9,702.48x = 56,186,147.81
  5. Step 5: Solve for x
    x = 56,186,147.81/9,702.48
  6. Step 6: Final answer
    x = 5,790.91

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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.