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Finding the Fourth Proportional to 9,964.71, 14,933.07 and 7,875.54

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Solution

The fourth proportional to 9,964.71, 14,933.07 and 7,875.54 is: 11,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.71 : 14,933.07 = 7,875.54 : x
  2. Step 2: Convert to fraction form
    9,964.71/14,933.07 = 7,875.54/x
  3. Step 3: Cross multiply
    9,964.71x = 14,933.07 × 7,875.54
  4. Step 4: Simplify right side
    9,964.71x = 117,605,990.11
  5. Step 5: Solve for x
    x = 117,605,990.11/9,964.71
  6. Step 6: Final answer
    x = 11,802.25

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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.