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Finding the Fourth Proportional to 9,964.38, 14,948.03 and 5,283.18

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Solution

The fourth proportional to 9,964.38, 14,948.03 and 5,283.18 is: 7,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.38 : 14,948.03 = 5,283.18 : x
  2. Step 2: Convert to fraction form
    9,964.38/14,948.03 = 5,283.18/x
  3. Step 3: Cross multiply
    9,964.38x = 14,948.03 × 5,283.18
  4. Step 4: Simplify right side
    9,964.38x = 78,973,202.40
  5. Step 5: Solve for x
    x = 78,973,202.40/9,964.38
  6. Step 6: Final answer
    x = 7,925.55

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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.