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Finding the Fourth Proportional to 6,835.59, 9,437.31 and 4,953.29

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Solution

The fourth proportional to 6,835.59, 9,437.31 and 4,953.29 is: 6,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.59 : 9,437.31 = 4,953.29 : x
  2. Step 2: Convert to fraction form
    6,835.59/9,437.31 = 4,953.29/x
  3. Step 3: Cross multiply
    6,835.59x = 9,437.31 × 4,953.29
  4. Step 4: Simplify right side
    6,835.59x = 46,745,686.06
  5. Step 5: Solve for x
    x = 46,745,686.06/6,835.59
  6. Step 6: Final answer
    x = 6,838.57

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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.