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Finding the Fourth Proportional to 9,682.74, 14,526.95 and 5,005.40

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Solution

The fourth proportional to 9,682.74, 14,526.95 and 5,005.40 is: 7,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.74 : 14,526.95 = 5,005.40 : x
  2. Step 2: Convert to fraction form
    9,682.74/14,526.95 = 5,005.40/x
  3. Step 3: Cross multiply
    9,682.74x = 14,526.95 × 5,005.40
  4. Step 4: Simplify right side
    9,682.74x = 72,713,097.87
  5. Step 5: Solve for x
    x = 72,713,097.87/9,682.74
  6. Step 6: Final answer
    x = 7,509.56

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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.