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Finding the Fourth Proportional to 9,776.84, 14,665.26 and 5,085.32

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Solution

The fourth proportional to 9,776.84, 14,665.26 and 5,085.32 is: 7,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.84 : 14,665.26 = 5,085.32 : x
  2. Step 2: Convert to fraction form
    9,776.84/14,665.26 = 5,085.32/x
  3. Step 3: Cross multiply
    9,776.84x = 14,665.26 × 5,085.32
  4. Step 4: Simplify right side
    9,776.84x = 74,577,539.98
  5. Step 5: Solve for x
    x = 74,577,539.98/9,776.84
  6. Step 6: Final answer
    x = 7,627.98

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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.