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Finding the Fourth Proportional to 9,675.65, 14,507.51 and 4,125.80

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Solution

The fourth proportional to 9,675.65, 14,507.51 and 4,125.80 is: 6,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.65 : 14,507.51 = 4,125.80 : x
  2. Step 2: Convert to fraction form
    9,675.65/14,507.51 = 4,125.80/x
  3. Step 3: Cross multiply
    9,675.65x = 14,507.51 × 4,125.80
  4. Step 4: Simplify right side
    9,675.65x = 59,855,100.40
  5. Step 5: Solve for x
    x = 59,855,100.40/9,675.65
  6. Step 6: Final answer
    x = 6,186.16

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