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Finding the Fourth Proportional to 9,347.10, 12,898.70 and 5,314.36

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Solution

The fourth proportional to 9,347.10, 12,898.70 and 5,314.36 is: 7,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.10 : 12,898.70 = 5,314.36 : x
  2. Step 2: Convert to fraction form
    9,347.10/12,898.70 = 5,314.36/x
  3. Step 3: Cross multiply
    9,347.10x = 12,898.70 × 5,314.36
  4. Step 4: Simplify right side
    9,347.10x = 68,548,335.33
  5. Step 5: Solve for x
    x = 68,548,335.33/9,347.10
  6. Step 6: Final answer
    x = 7,333.65

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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.