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Finding the Fourth Proportional to 9,783.64, 14,670.60 and 3,543.40

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Solution

The fourth proportional to 9,783.64, 14,670.60 and 3,543.40 is: 5,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.64 : 14,670.60 = 3,543.40 : x
  2. Step 2: Convert to fraction form
    9,783.64/14,670.60 = 3,543.40/x
  3. Step 3: Cross multiply
    9,783.64x = 14,670.60 × 3,543.40
  4. Step 4: Simplify right side
    9,783.64x = 51,983,804.04
  5. Step 5: Solve for x
    x = 51,983,804.04/9,783.64
  6. Step 6: Final answer
    x = 5,313.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.