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Finding the Fourth Proportional to 6,606.64, 9,114.88 and 4,718.40

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Solution

The fourth proportional to 6,606.64, 9,114.88 and 4,718.40 is: 6,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.64 : 9,114.88 = 4,718.40 : x
  2. Step 2: Convert to fraction form
    6,606.64/9,114.88 = 4,718.40/x
  3. Step 3: Cross multiply
    6,606.64x = 9,114.88 × 4,718.40
  4. Step 4: Simplify right side
    6,606.64x = 43,007,649.79
  5. Step 5: Solve for x
    x = 43,007,649.79/6,606.64
  6. Step 6: Final answer
    x = 6,509.76

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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.