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Finding the Fourth Proportional to 9,670.32, 14,506.49 and 4,124.25

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Solution

The fourth proportional to 9,670.32, 14,506.49 and 4,124.25 is: 6,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.32 : 14,506.49 = 4,124.25 : x
  2. Step 2: Convert to fraction form
    9,670.32/14,506.49 = 4,124.25/x
  3. Step 3: Cross multiply
    9,670.32x = 14,506.49 × 4,124.25
  4. Step 4: Simplify right side
    9,670.32x = 59,828,391.38
  5. Step 5: Solve for x
    x = 59,828,391.38/9,670.32
  6. Step 6: Final answer
    x = 6,186.81

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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.