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Finding the Fourth Proportional to 9,675.16, 14,509.09 and 4,125.04

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Solution

The fourth proportional to 9,675.16, 14,509.09 and 4,125.04 is: 6,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.16 : 14,509.09 = 4,125.04 : x
  2. Step 2: Convert to fraction form
    9,675.16/14,509.09 = 4,125.04/x
  3. Step 3: Cross multiply
    9,675.16x = 14,509.09 × 4,125.04
  4. Step 4: Simplify right side
    9,675.16x = 59,850,576.61
  5. Step 5: Solve for x
    x = 59,850,576.61/9,675.16
  6. Step 6: Final answer
    x = 6,186.00

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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.