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Finding the Fourth Proportional to 9,995.28, 14,973.48 and 6,522

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Solution

The fourth proportional to 9,995.28, 14,973.48 and 6,522 is: 9,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.28 : 14,973.48 = 6,522 : x
  2. Step 2: Convert to fraction form
    9,995.28/14,973.48 = 6,522/x
  3. Step 3: Cross multiply
    9,995.28x = 14,973.48 × 6,522
  4. Step 4: Simplify right side
    9,995.28x = 97,657,036.56
  5. Step 5: Solve for x
    x = 97,657,036.56/9,995.28
  6. Step 6: Final answer
    x = 9,770.32

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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.