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Finding the Fourth Proportional to 9,300.23, 12,833.96 and 5,051.20

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Solution

The fourth proportional to 9,300.23, 12,833.96 and 5,051.20 is: 6,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.23 : 12,833.96 = 5,051.20 : x
  2. Step 2: Convert to fraction form
    9,300.23/12,833.96 = 5,051.20/x
  3. Step 3: Cross multiply
    9,300.23x = 12,833.96 × 5,051.20
  4. Step 4: Simplify right side
    9,300.23x = 64,826,865.47
  5. Step 5: Solve for x
    x = 64,826,865.47/9,300.23
  6. Step 6: Final answer
    x = 6,970.46

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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.