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Finding the Fourth Proportional to 6,969.12, 9,630.10 and 5,077.40

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Solution

The fourth proportional to 6,969.12, 9,630.10 and 5,077.40 is: 7,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.12 : 9,630.10 = 5,077.40 : x
  2. Step 2: Convert to fraction form
    6,969.12/9,630.10 = 5,077.40/x
  3. Step 3: Cross multiply
    6,969.12x = 9,630.10 × 5,077.40
  4. Step 4: Simplify right side
    6,969.12x = 48,895,869.74
  5. Step 5: Solve for x
    x = 48,895,869.74/6,969.12
  6. Step 6: Final answer
    x = 7,016.08

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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.