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Finding the Fourth Proportional to 9,990.16, 13,784.52 and 6,845.20

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Solution

The fourth proportional to 9,990.16, 13,784.52 and 6,845.20 is: 9,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.16 : 13,784.52 = 6,845.20 : x
  2. Step 2: Convert to fraction form
    9,990.16/13,784.52 = 6,845.20/x
  3. Step 3: Cross multiply
    9,990.16x = 13,784.52 × 6,845.20
  4. Step 4: Simplify right side
    9,990.16x = 94,357,796.30
  5. Step 5: Solve for x
    x = 94,357,796.30/9,990.16
  6. Step 6: Final answer
    x = 9,445.07

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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.