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Finding the Fourth Proportional to 9,665.65, 13,335.54 and 5,416.12

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Solution

The fourth proportional to 9,665.65, 13,335.54 and 5,416.12 is: 7,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.65 : 13,335.54 = 5,416.12 : x
  2. Step 2: Convert to fraction form
    9,665.65/13,335.54 = 5,416.12/x
  3. Step 3: Cross multiply
    9,665.65x = 13,335.54 × 5,416.12
  4. Step 4: Simplify right side
    9,665.65x = 72,226,818.23
  5. Step 5: Solve for x
    x = 72,226,818.23/9,665.65
  6. Step 6: Final answer
    x = 7,472.53

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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.