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Finding the Fourth Proportional to 9,740.64, 13,435.02 and 6,756.60

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Solution

The fourth proportional to 9,740.64, 13,435.02 and 6,756.60 is: 9,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.64 : 13,435.02 = 6,756.60 : x
  2. Step 2: Convert to fraction form
    9,740.64/13,435.02 = 6,756.60/x
  3. Step 3: Cross multiply
    9,740.64x = 13,435.02 × 6,756.60
  4. Step 4: Simplify right side
    9,740.64x = 90,775,056.13
  5. Step 5: Solve for x
    x = 90,775,056.13/9,740.64
  6. Step 6: Final answer
    x = 9,319.21

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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.