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Finding the Fourth Proportional to 9,666.47, 13,339.06 and 5,416.80

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Solution

The fourth proportional to 9,666.47, 13,339.06 and 5,416.80 is: 7,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.47 : 13,339.06 = 5,416.80 : x
  2. Step 2: Convert to fraction form
    9,666.47/13,339.06 = 5,416.80/x
  3. Step 3: Cross multiply
    9,666.47x = 13,339.06 × 5,416.80
  4. Step 4: Simplify right side
    9,666.47x = 72,255,062.15
  5. Step 5: Solve for x
    x = 72,255,062.15/9,666.47
  6. Step 6: Final answer
    x = 7,474.82

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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.