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Finding the Fourth Proportional to 9,848.04, 14,768.21 and 3,435.00

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Solution

The fourth proportional to 9,848.04, 14,768.21 and 3,435.00 is: 5,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.04 : 14,768.21 = 3,435.00 : x
  2. Step 2: Convert to fraction form
    9,848.04/14,768.21 = 3,435.00/x
  3. Step 3: Cross multiply
    9,848.04x = 14,768.21 × 3,435.00
  4. Step 4: Simplify right side
    9,848.04x = 50,728,859.84
  5. Step 5: Solve for x
    x = 50,728,859.84/9,848.04
  6. Step 6: Final answer
    x = 5,151.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.