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Finding the Fourth Proportional to 9,588.65, 14,384.79 and 3,013.07

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Solution

The fourth proportional to 9,588.65, 14,384.79 and 3,013.07 is: 4,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.65 : 14,384.79 = 3,013.07 : x
  2. Step 2: Convert to fraction form
    9,588.65/14,384.79 = 3,013.07/x
  3. Step 3: Cross multiply
    9,588.65x = 14,384.79 × 3,013.07
  4. Step 4: Simplify right side
    9,588.65x = 43,342,307.28
  5. Step 5: Solve for x
    x = 43,342,307.28/9,588.65
  6. Step 6: Final answer
    x = 4,520.17

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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.