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Finding the Fourth Proportional to 9,756.18, 14,619.49 and 6,457.46

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Solution

The fourth proportional to 9,756.18, 14,619.49 and 6,457.46 is: 9,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.18 : 14,619.49 = 6,457.46 : x
  2. Step 2: Convert to fraction form
    9,756.18/14,619.49 = 6,457.46/x
  3. Step 3: Cross multiply
    9,756.18x = 14,619.49 × 6,457.46
  4. Step 4: Simplify right side
    9,756.18x = 94,404,682.65
  5. Step 5: Solve for x
    x = 94,404,682.65/9,756.18
  6. Step 6: Final answer
    x = 9,676.40

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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.