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Finding the Fourth Proportional to 9,300.12, 12,833.84 and 5,051.03

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Solution

The fourth proportional to 9,300.12, 12,833.84 and 5,051.03 is: 6,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.12 : 12,833.84 = 5,051.03 : x
  2. Step 2: Convert to fraction form
    9,300.12/12,833.84 = 5,051.03/x
  3. Step 3: Cross multiply
    9,300.12x = 12,833.84 × 5,051.03
  4. Step 4: Simplify right side
    9,300.12x = 64,824,059.31
  5. Step 5: Solve for x
    x = 64,824,059.31/9,300.12
  6. Step 6: Final answer
    x = 6,970.24

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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.