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Finding the Fourth Proportional to 9,140.10, 13,710.15 and 4,992.90

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Solution

The fourth proportional to 9,140.10, 13,710.15 and 4,992.90 is: 7,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.10 : 13,710.15 = 4,992.90 : x
  2. Step 2: Convert to fraction form
    9,140.10/13,710.15 = 4,992.90/x
  3. Step 3: Cross multiply
    9,140.10x = 13,710.15 × 4,992.90
  4. Step 4: Simplify right side
    9,140.10x = 68,453,407.94
  5. Step 5: Solve for x
    x = 68,453,407.94/9,140.10
  6. Step 6: Final answer
    x = 7,489.35

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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.