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Finding the Fourth Proportional to 9,751.36, 14,623.40 and 3,509.68

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Solution

The fourth proportional to 9,751.36, 14,623.40 and 3,509.68 is: 5,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.36 : 14,623.40 = 3,509.68 : x
  2. Step 2: Convert to fraction form
    9,751.36/14,623.40 = 3,509.68/x
  3. Step 3: Cross multiply
    9,751.36x = 14,623.40 × 3,509.68
  4. Step 4: Simplify right side
    9,751.36x = 51,323,454.51
  5. Step 5: Solve for x
    x = 51,323,454.51/9,751.36
  6. Step 6: Final answer
    x = 5,263.21

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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.