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Finding the Fourth Proportional to 6,575.34, 9,068.84 and 4,217.70

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Solution

The fourth proportional to 6,575.34, 9,068.84 and 4,217.70 is: 5,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.34 : 9,068.84 = 4,217.70 : x
  2. Step 2: Convert to fraction form
    6,575.34/9,068.84 = 4,217.70/x
  3. Step 3: Cross multiply
    6,575.34x = 9,068.84 × 4,217.70
  4. Step 4: Simplify right side
    6,575.34x = 38,249,646.47
  5. Step 5: Solve for x
    x = 38,249,646.47/6,575.34
  6. Step 6: Final answer
    x = 5,817.14

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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.