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Finding the Fourth Proportional to 9,730.70, 14,598.10 and 3,156.37

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Solution

The fourth proportional to 9,730.70, 14,598.10 and 3,156.37 is: 4,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.70 : 14,598.10 = 3,156.37 : x
  2. Step 2: Convert to fraction form
    9,730.70/14,598.10 = 3,156.37/x
  3. Step 3: Cross multiply
    9,730.70x = 14,598.10 × 3,156.37
  4. Step 4: Simplify right side
    9,730.70x = 46,077,004.90
  5. Step 5: Solve for x
    x = 46,077,004.90/9,730.70
  6. Step 6: Final answer
    x = 4,735.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.