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Finding the Fourth Proportional to 9,809.12, 13,533.84 and 9,316.64

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Solution

The fourth proportional to 9,809.12, 13,533.84 and 9,316.64 is: 12,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.12 : 13,533.84 = 9,316.64 : x
  2. Step 2: Convert to fraction form
    9,809.12/13,533.84 = 9,316.64/x
  3. Step 3: Cross multiply
    9,809.12x = 13,533.84 × 9,316.64
  4. Step 4: Simplify right side
    9,809.12x = 126,089,915.10
  5. Step 5: Solve for x
    x = 126,089,915.10/9,809.12
  6. Step 6: Final answer
    x = 12,854.36

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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.