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Finding the Fourth Proportional to 9,689.40, 13,346.46 and 6,851.88

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Solution

The fourth proportional to 9,689.40, 13,346.46 and 6,851.88 is: 9,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.40 : 13,346.46 = 6,851.88 : x
  2. Step 2: Convert to fraction form
    9,689.40/13,346.46 = 6,851.88/x
  3. Step 3: Cross multiply
    9,689.40x = 13,346.46 × 6,851.88
  4. Step 4: Simplify right side
    9,689.40x = 91,448,342.34
  5. Step 5: Solve for x
    x = 91,448,342.34/9,689.40
  6. Step 6: Final answer
    x = 9,437.98

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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.