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Finding the Fourth Proportional to 9,702.56, 13,389.84 and 5,727.08

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Solution

The fourth proportional to 9,702.56, 13,389.84 and 5,727.08 is: 7,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.56 : 13,389.84 = 5,727.08 : x
  2. Step 2: Convert to fraction form
    9,702.56/13,389.84 = 5,727.08/x
  3. Step 3: Cross multiply
    9,702.56x = 13,389.84 × 5,727.08
  4. Step 4: Simplify right side
    9,702.56x = 76,684,718.34
  5. Step 5: Solve for x
    x = 76,684,718.34/9,702.56
  6. Step 6: Final answer
    x = 7,903.55

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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.