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Finding the Fourth Proportional to 9,690.64, 13,377.14 and 6,551.08

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Solution

The fourth proportional to 9,690.64, 13,377.14 and 6,551.08 is: 9,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.64 : 13,377.14 = 6,551.08 : x
  2. Step 2: Convert to fraction form
    9,690.64/13,377.14 = 6,551.08/x
  3. Step 3: Cross multiply
    9,690.64x = 13,377.14 × 6,551.08
  4. Step 4: Simplify right side
    9,690.64x = 87,634,714.31
  5. Step 5: Solve for x
    x = 87,634,714.31/9,690.64
  6. Step 6: Final answer
    x = 9,043.23

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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.