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Finding the Fourth Proportional to 9,892.16, 14,844.32 and 4,048.80

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Solution

The fourth proportional to 9,892.16, 14,844.32 and 4,048.80 is: 6,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.16 : 14,844.32 = 4,048.80 : x
  2. Step 2: Convert to fraction form
    9,892.16/14,844.32 = 4,048.80/x
  3. Step 3: Cross multiply
    9,892.16x = 14,844.32 × 4,048.80
  4. Step 4: Simplify right side
    9,892.16x = 60,101,682.82
  5. Step 5: Solve for x
    x = 60,101,682.82/9,892.16
  6. Step 6: Final answer
    x = 6,075.69

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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.