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Finding the Fourth Proportional to 6,935.04, 9,570.51 and 4,140

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Solution

The fourth proportional to 6,935.04, 9,570.51 and 4,140 is: 5,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.04 : 9,570.51 = 4,140 : x
  2. Step 2: Convert to fraction form
    6,935.04/9,570.51 = 4,140/x
  3. Step 3: Cross multiply
    6,935.04x = 9,570.51 × 4,140
  4. Step 4: Simplify right side
    6,935.04x = 39,621,911.40
  5. Step 5: Solve for x
    x = 39,621,911.40/6,935.04
  6. Step 6: Final answer
    x = 5,713.29

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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.