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Finding the Fourth Proportional to 7,007.14, 9,668.70 and 4,358.20

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Solution

The fourth proportional to 7,007.14, 9,668.70 and 4,358.20 is: 6,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.14 : 9,668.70 = 4,358.20 : x
  2. Step 2: Convert to fraction form
    7,007.14/9,668.70 = 4,358.20/x
  3. Step 3: Cross multiply
    7,007.14x = 9,668.70 × 4,358.20
  4. Step 4: Simplify right side
    7,007.14x = 42,138,128.34
  5. Step 5: Solve for x
    x = 42,138,128.34/7,007.14
  6. Step 6: Final answer
    x = 6,013.60

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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.