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Finding the Fourth Proportional to 7,004.16, 9,657.84 and 6,842.88

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Solution

The fourth proportional to 7,004.16, 9,657.84 and 6,842.88 is: 9,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.16 : 9,657.84 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    7,004.16/9,657.84 = 6,842.88/x
  3. Step 3: Cross multiply
    7,004.16x = 9,657.84 × 6,842.88
  4. Step 4: Simplify right side
    7,004.16x = 66,087,440.18
  5. Step 5: Solve for x
    x = 66,087,440.18/7,004.16
  6. Step 6: Final answer
    x = 9,435.46

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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.