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Finding the Fourth Proportional to 7,070.30, 9,765.22 and 4,708.34

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Solution

The fourth proportional to 7,070.30, 9,765.22 and 4,708.34 is: 6,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.30 : 9,765.22 = 4,708.34 : x
  2. Step 2: Convert to fraction form
    7,070.30/9,765.22 = 4,708.34/x
  3. Step 3: Cross multiply
    7,070.30x = 9,765.22 × 4,708.34
  4. Step 4: Simplify right side
    7,070.30x = 45,977,988.58
  5. Step 5: Solve for x
    x = 45,977,988.58/7,070.30
  6. Step 6: Final answer
    x = 6,502.97

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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.