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Finding the Fourth Proportional to 9,577.44, 14,354.53 and 5,124.15

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Solution

The fourth proportional to 9,577.44, 14,354.53 and 5,124.15 is: 7,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.44 : 14,354.53 = 5,124.15 : x
  2. Step 2: Convert to fraction form
    9,577.44/14,354.53 = 5,124.15/x
  3. Step 3: Cross multiply
    9,577.44x = 14,354.53 × 5,124.15
  4. Step 4: Simplify right side
    9,577.44x = 73,554,752.09
  5. Step 5: Solve for x
    x = 73,554,752.09/9,577.44
  6. Step 6: Final answer
    x = 7,680.00

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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.