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Finding the Fourth Proportional to 7,059.77, 9,738.41 and 4,402.57

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Solution

The fourth proportional to 7,059.77, 9,738.41 and 4,402.57 is: 6,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.77 : 9,738.41 = 4,402.57 : x
  2. Step 2: Convert to fraction form
    7,059.77/9,738.41 = 4,402.57/x
  3. Step 3: Cross multiply
    7,059.77x = 9,738.41 × 4,402.57
  4. Step 4: Simplify right side
    7,059.77x = 42,874,031.71
  5. Step 5: Solve for x
    x = 42,874,031.71/7,059.77
  6. Step 6: Final answer
    x = 6,073.01

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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.