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Finding the Fourth Proportional to 9,637.22, 14,448.84 and 6,509.48

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Solution

The fourth proportional to 9,637.22, 14,448.84 and 6,509.48 is: 9,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.22 : 14,448.84 = 6,509.48 : x
  2. Step 2: Convert to fraction form
    9,637.22/14,448.84 = 6,509.48/x
  3. Step 3: Cross multiply
    9,637.22x = 14,448.84 × 6,509.48
  4. Step 4: Simplify right side
    9,637.22x = 94,054,435.00
  5. Step 5: Solve for x
    x = 94,054,435.00/9,637.22
  6. Step 6: Final answer
    x = 9,759.50

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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.