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Finding the Fourth Proportional to 9,690.16, 13,364.88 and 6,502.42

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Solution

The fourth proportional to 9,690.16, 13,364.88 and 6,502.42 is: 8,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.16 : 13,364.88 = 6,502.42 : x
  2. Step 2: Convert to fraction form
    9,690.16/13,364.88 = 6,502.42/x
  3. Step 3: Cross multiply
    9,690.16x = 13,364.88 × 6,502.42
  4. Step 4: Simplify right side
    9,690.16x = 86,904,063.01
  5. Step 5: Solve for x
    x = 86,904,063.01/9,690.16
  6. Step 6: Final answer
    x = 8,968.28

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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.