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Finding the Fourth Proportional to 9,920.16, 13,690.44 and 6,557.06

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Solution

The fourth proportional to 9,920.16, 13,690.44 and 6,557.06 is: 9,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.16 : 13,690.44 = 6,557.06 : x
  2. Step 2: Convert to fraction form
    9,920.16/13,690.44 = 6,557.06/x
  3. Step 3: Cross multiply
    9,920.16x = 13,690.44 × 6,557.06
  4. Step 4: Simplify right side
    9,920.16x = 89,769,036.51
  5. Step 5: Solve for x
    x = 89,769,036.51/9,920.16
  6. Step 6: Final answer
    x = 9,049.15

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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.