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Finding the Fourth Proportional to 7,070.72, 9,735.23 and 5,386.73

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Solution

The fourth proportional to 7,070.72, 9,735.23 and 5,386.73 is: 7,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.72 : 9,735.23 = 5,386.73 : x
  2. Step 2: Convert to fraction form
    7,070.72/9,735.23 = 5,386.73/x
  3. Step 3: Cross multiply
    7,070.72x = 9,735.23 × 5,386.73
  4. Step 4: Simplify right side
    7,070.72x = 52,440,979.89
  5. Step 5: Solve for x
    x = 52,440,979.89/7,070.72
  6. Step 6: Final answer
    x = 7,416.64

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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.