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Finding the Fourth Proportional to 9,685.52, 13,366.74 and 5,437.08

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Solution

The fourth proportional to 9,685.52, 13,366.74 and 5,437.08 is: 7,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.52 : 13,366.74 = 5,437.08 : x
  2. Step 2: Convert to fraction form
    9,685.52/13,366.74 = 5,437.08/x
  3. Step 3: Cross multiply
    9,685.52x = 13,366.74 × 5,437.08
  4. Step 4: Simplify right side
    9,685.52x = 72,676,034.72
  5. Step 5: Solve for x
    x = 72,676,034.72/9,685.52
  6. Step 6: Final answer
    x = 7,503.58

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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.