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Finding the Fourth Proportional to 9,992.76, 14,984.70 and 3,065.64

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Solution

The fourth proportional to 9,992.76, 14,984.70 and 3,065.64 is: 4,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.76 : 14,984.70 = 3,065.64 : x
  2. Step 2: Convert to fraction form
    9,992.76/14,984.70 = 3,065.64/x
  3. Step 3: Cross multiply
    9,992.76x = 14,984.70 × 3,065.64
  4. Step 4: Simplify right side
    9,992.76x = 45,937,695.71
  5. Step 5: Solve for x
    x = 45,937,695.71/9,992.76
  6. Step 6: Final answer
    x = 4,597.10

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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.