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Finding the Fourth Proportional to 9,693.34, 14,474.34 and 7,696.56

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Solution

The fourth proportional to 9,693.34, 14,474.34 and 7,696.56 is: 11,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.34 : 14,474.34 = 7,696.56 : x
  2. Step 2: Convert to fraction form
    9,693.34/14,474.34 = 7,696.56/x
  3. Step 3: Cross multiply
    9,693.34x = 14,474.34 × 7,696.56
  4. Step 4: Simplify right side
    9,693.34x = 111,402,580.46
  5. Step 5: Solve for x
    x = 111,402,580.46/9,693.34
  6. Step 6: Final answer
    x = 11,492.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.