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Finding the Fourth Proportional to 9,903.64, 14,868.06 and 9,864.76

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Solution

The fourth proportional to 9,903.64, 14,868.06 and 9,864.76 is: 14,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.64 : 14,868.06 = 9,864.76 : x
  2. Step 2: Convert to fraction form
    9,903.64/14,868.06 = 9,864.76/x
  3. Step 3: Cross multiply
    9,903.64x = 14,868.06 × 9,864.76
  4. Step 4: Simplify right side
    9,903.64x = 146,669,843.57
  5. Step 5: Solve for x
    x = 146,669,843.57/9,903.64
  6. Step 6: Final answer
    x = 14,809.69

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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.