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Finding the Fourth Proportional to 6,758.31, 9,335.47 and 5,437.00

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Solution

The fourth proportional to 6,758.31, 9,335.47 and 5,437.00 is: 7,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.31 : 9,335.47 = 5,437.00 : x
  2. Step 2: Convert to fraction form
    6,758.31/9,335.47 = 5,437.00/x
  3. Step 3: Cross multiply
    6,758.31x = 9,335.47 × 5,437.00
  4. Step 4: Simplify right side
    6,758.31x = 50,756,903.71
  5. Step 5: Solve for x
    x = 50,756,903.71/6,758.31
  6. Step 6: Final answer
    x = 7,510.30

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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.