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Finding the Fourth Proportional to 9,776.98, 14,665.32 and 2,381.45

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Solution

The fourth proportional to 9,776.98, 14,665.32 and 2,381.45 is: 3,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.98 : 14,665.32 = 2,381.45 : x
  2. Step 2: Convert to fraction form
    9,776.98/14,665.32 = 2,381.45/x
  3. Step 3: Cross multiply
    9,776.98x = 14,665.32 × 2,381.45
  4. Step 4: Simplify right side
    9,776.98x = 34,924,726.31
  5. Step 5: Solve for x
    x = 34,924,726.31/9,776.98
  6. Step 6: Final answer
    x = 3,572.14

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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.