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Finding the Fourth Proportional to 9,882.95, 14,835.96 and 7,804.35

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Solution

The fourth proportional to 9,882.95, 14,835.96 and 7,804.35 is: 11,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.95 : 14,835.96 = 7,804.35 : x
  2. Step 2: Convert to fraction form
    9,882.95/14,835.96 = 7,804.35/x
  3. Step 3: Cross multiply
    9,882.95x = 14,835.96 × 7,804.35
  4. Step 4: Simplify right side
    9,882.95x = 115,785,024.43
  5. Step 5: Solve for x
    x = 115,785,024.43/9,882.95
  6. Step 6: Final answer
    x = 11,715.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.