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Finding the Fourth Proportional to 9,764.01, 13,476.51 and 6,935.49

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Solution

The fourth proportional to 9,764.01, 13,476.51 and 6,935.49 is: 9,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.01 : 13,476.51 = 6,935.49 : x
  2. Step 2: Convert to fraction form
    9,764.01/13,476.51 = 6,935.49/x
  3. Step 3: Cross multiply
    9,764.01x = 13,476.51 × 6,935.49
  4. Step 4: Simplify right side
    9,764.01x = 93,466,200.34
  5. Step 5: Solve for x
    x = 93,466,200.34/9,764.01
  6. Step 6: Final answer
    x = 9,572.52

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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.