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Finding the Fourth Proportional to 9,709.65, 14,564.48 and 4,159.41

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Solution

The fourth proportional to 9,709.65, 14,564.48 and 4,159.41 is: 6,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.65 : 14,564.48 = 4,159.41 : x
  2. Step 2: Convert to fraction form
    9,709.65/14,564.48 = 4,159.41/x
  3. Step 3: Cross multiply
    9,709.65x = 14,564.48 × 4,159.41
  4. Step 4: Simplify right side
    9,709.65x = 60,579,643.76
  5. Step 5: Solve for x
    x = 60,579,643.76/9,709.65
  6. Step 6: Final answer
    x = 6,239.12

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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.