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Finding the Fourth Proportional to 9,715.06, 14,564.04 and 6,421.24

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Solution

The fourth proportional to 9,715.06, 14,564.04 and 6,421.24 is: 9,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.06 : 14,564.04 = 6,421.24 : x
  2. Step 2: Convert to fraction form
    9,715.06/14,564.04 = 6,421.24/x
  3. Step 3: Cross multiply
    9,715.06x = 14,564.04 × 6,421.24
  4. Step 4: Simplify right side
    9,715.06x = 93,519,196.21
  5. Step 5: Solve for x
    x = 93,519,196.21/9,715.06
  6. Step 6: Final answer
    x = 9,626.21

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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.