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Finding the Fourth Proportional to 9,699.18, 14,549.31 and 3,859.98

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Solution

The fourth proportional to 9,699.18, 14,549.31 and 3,859.98 is: 5,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.18 : 14,549.31 = 3,859.98 : x
  2. Step 2: Convert to fraction form
    9,699.18/14,549.31 = 3,859.98/x
  3. Step 3: Cross multiply
    9,699.18x = 14,549.31 × 3,859.98
  4. Step 4: Simplify right side
    9,699.18x = 56,160,045.61
  5. Step 5: Solve for x
    x = 56,160,045.61/9,699.18
  6. Step 6: Final answer
    x = 5,790.18

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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.