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Finding the Fourth Proportional to 7,007.34, 9,670.15 and 3,863.53

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Solution

The fourth proportional to 7,007.34, 9,670.15 and 3,863.53 is: 5,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.34 : 9,670.15 = 3,863.53 : x
  2. Step 2: Convert to fraction form
    7,007.34/9,670.15 = 3,863.53/x
  3. Step 3: Cross multiply
    7,007.34x = 9,670.15 × 3,863.53
  4. Step 4: Simplify right side
    7,007.34x = 37,360,931.55
  5. Step 5: Solve for x
    x = 37,360,931.55/7,007.34
  6. Step 6: Final answer
    x = 5,331.68

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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.