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Finding the Fourth Proportional to 7,122.95, 9,829.70 and 4,139.37

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Solution

The fourth proportional to 7,122.95, 9,829.70 and 4,139.37 is: 5,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.95 : 9,829.70 = 4,139.37 : x
  2. Step 2: Convert to fraction form
    7,122.95/9,829.70 = 4,139.37/x
  3. Step 3: Cross multiply
    7,122.95x = 9,829.70 × 4,139.37
  4. Step 4: Simplify right side
    7,122.95x = 40,688,783.40
  5. Step 5: Solve for x
    x = 40,688,783.40/7,122.95
  6. Step 6: Final answer
    x = 5,712.35

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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.