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Finding the Fourth Proportional to 9,212.30, 12,712.98 and 5,435.51

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Solution

The fourth proportional to 9,212.30, 12,712.98 and 5,435.51 is: 7,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.30 : 12,712.98 = 5,435.51 : x
  2. Step 2: Convert to fraction form
    9,212.30/12,712.98 = 5,435.51/x
  3. Step 3: Cross multiply
    9,212.30x = 12,712.98 × 5,435.51
  4. Step 4: Simplify right side
    9,212.30x = 69,101,529.92
  5. Step 5: Solve for x
    x = 69,101,529.92/9,212.30
  6. Step 6: Final answer
    x = 7,501.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.