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Finding the Fourth Proportional to 9,212.64, 13,829.70 and 4,536.51

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Solution

The fourth proportional to 9,212.64, 13,829.70 and 4,536.51 is: 6,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.64 : 13,829.70 = 4,536.51 : x
  2. Step 2: Convert to fraction form
    9,212.64/13,829.70 = 4,536.51/x
  3. Step 3: Cross multiply
    9,212.64x = 13,829.70 × 4,536.51
  4. Step 4: Simplify right side
    9,212.64x = 62,738,572.35
  5. Step 5: Solve for x
    x = 62,738,572.35/9,212.64
  6. Step 6: Final answer
    x = 6,810.05

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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.