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Finding the Fourth Proportional to 6,501.44, 9,752.16 and 3,041.12

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Solution

The fourth proportional to 6,501.44, 9,752.16 and 3,041.12 is: 4,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.44 : 9,752.16 = 3,041.12 : x
  2. Step 2: Convert to fraction form
    6,501.44/9,752.16 = 3,041.12/x
  3. Step 3: Cross multiply
    6,501.44x = 9,752.16 × 3,041.12
  4. Step 4: Simplify right side
    6,501.44x = 29,657,488.82
  5. Step 5: Solve for x
    x = 29,657,488.82/6,501.44
  6. Step 6: Final answer
    x = 4,561.68

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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.