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Finding the Fourth Proportional to 6,572.34, 9,064.71 and 4,214.70

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Solution

The fourth proportional to 6,572.34, 9,064.71 and 4,214.70 is: 5,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.34 : 9,064.71 = 4,214.70 : x
  2. Step 2: Convert to fraction form
    6,572.34/9,064.71 = 4,214.70/x
  3. Step 3: Cross multiply
    6,572.34x = 9,064.71 × 4,214.70
  4. Step 4: Simplify right side
    6,572.34x = 38,205,033.24
  5. Step 5: Solve for x
    x = 38,205,033.24/6,572.34
  6. Step 6: Final answer
    x = 5,813.00

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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.