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Finding the Fourth Proportional to 9,736.47, 14,591.00 and 5,570.24

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Solution

The fourth proportional to 9,736.47, 14,591.00 and 5,570.24 is: 8,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.47 : 14,591.00 = 5,570.24 : x
  2. Step 2: Convert to fraction form
    9,736.47/14,591.00 = 5,570.24/x
  3. Step 3: Cross multiply
    9,736.47x = 14,591.00 × 5,570.24
  4. Step 4: Simplify right side
    9,736.47x = 81,275,312.81
  5. Step 5: Solve for x
    x = 81,275,312.81/9,736.47
  6. Step 6: Final answer
    x = 8,347.51

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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.