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Finding the Fourth Proportional to 9,471.33, 13,070.57 and 6,114.29

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Solution

The fourth proportional to 9,471.33, 13,070.57 and 6,114.29 is: 8,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.33 : 13,070.57 = 6,114.29 : x
  2. Step 2: Convert to fraction form
    9,471.33/13,070.57 = 6,114.29/x
  3. Step 3: Cross multiply
    9,471.33x = 13,070.57 × 6,114.29
  4. Step 4: Simplify right side
    9,471.33x = 79,917,159.52
  5. Step 5: Solve for x
    x = 79,917,159.52/9,471.33
  6. Step 6: Final answer
    x = 8,437.80

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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.