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Finding the Fourth Proportional to 9,795.34, 13,507.23 and 6,959.76

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Solution

The fourth proportional to 9,795.34, 13,507.23 and 6,959.76 is: 9,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.34 : 13,507.23 = 6,959.76 : x
  2. Step 2: Convert to fraction form
    9,795.34/13,507.23 = 6,959.76/x
  3. Step 3: Cross multiply
    9,795.34x = 13,507.23 × 6,959.76
  4. Step 4: Simplify right side
    9,795.34x = 94,007,079.06
  5. Step 5: Solve for x
    x = 94,007,079.06/9,795.34
  6. Step 6: Final answer
    x = 9,597.12

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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.