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Finding the Fourth Proportional to 7,140.21, 9,852.13 and 4,621.98

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Solution

The fourth proportional to 7,140.21, 9,852.13 and 4,621.98 is: 6,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.21 : 9,852.13 = 4,621.98 : x
  2. Step 2: Convert to fraction form
    7,140.21/9,852.13 = 4,621.98/x
  3. Step 3: Cross multiply
    7,140.21x = 9,852.13 × 4,621.98
  4. Step 4: Simplify right side
    7,140.21x = 45,536,347.82
  5. Step 5: Solve for x
    x = 45,536,347.82/7,140.21
  6. Step 6: Final answer
    x = 6,377.45

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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.