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Finding the Fourth Proportional to 9,641.17, 14,462.93 and 2,715.67

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Solution

The fourth proportional to 9,641.17, 14,462.93 and 2,715.67 is: 4,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.17 : 14,462.93 = 2,715.67 : x
  2. Step 2: Convert to fraction form
    9,641.17/14,462.93 = 2,715.67/x
  3. Step 3: Cross multiply
    9,641.17x = 14,462.93 × 2,715.67
  4. Step 4: Simplify right side
    9,641.17x = 39,276,545.11
  5. Step 5: Solve for x
    x = 39,276,545.11/9,641.17
  6. Step 6: Final answer
    x = 4,073.84

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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.