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Finding the Fourth Proportional to 9,283.08, 12,810.42 and 5,303.94

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Solution

The fourth proportional to 9,283.08, 12,810.42 and 5,303.94 is: 7,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.08 : 12,810.42 = 5,303.94 : x
  2. Step 2: Convert to fraction form
    9,283.08/12,810.42 = 5,303.94/x
  3. Step 3: Cross multiply
    9,283.08x = 12,810.42 × 5,303.94
  4. Step 4: Simplify right side
    9,283.08x = 67,945,699.05
  5. Step 5: Solve for x
    x = 67,945,699.05/9,283.08
  6. Step 6: Final answer
    x = 7,319.31

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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.