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Finding the Fourth Proportional to 9,185.60, 13,767.47 and 6,397.18

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Solution

The fourth proportional to 9,185.60, 13,767.47 and 6,397.18 is: 9,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.60 : 13,767.47 = 6,397.18 : x
  2. Step 2: Convert to fraction form
    9,185.60/13,767.47 = 6,397.18/x
  3. Step 3: Cross multiply
    9,185.60x = 13,767.47 × 6,397.18
  4. Step 4: Simplify right side
    9,185.60x = 88,072,941.32
  5. Step 5: Solve for x
    x = 88,072,941.32/9,185.60
  6. Step 6: Final answer
    x = 9,588.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.