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Finding the Fourth Proportional to 6,535.34, 9,784.37 and 4,339.70

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Solution

The fourth proportional to 6,535.34, 9,784.37 and 4,339.70 is: 6,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.34 : 9,784.37 = 4,339.70 : x
  2. Step 2: Convert to fraction form
    6,535.34/9,784.37 = 4,339.70/x
  3. Step 3: Cross multiply
    6,535.34x = 9,784.37 × 4,339.70
  4. Step 4: Simplify right side
    6,535.34x = 42,461,181.57
  5. Step 5: Solve for x
    x = 42,461,181.57/6,535.34
  6. Step 6: Final answer
    x = 6,497.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.