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Finding the Fourth Proportional to 9,289.65, 12,820.17 and 5,312.08

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Solution

The fourth proportional to 9,289.65, 12,820.17 and 5,312.08 is: 7,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.65 : 12,820.17 = 5,312.08 : x
  2. Step 2: Convert to fraction form
    9,289.65/12,820.17 = 5,312.08/x
  3. Step 3: Cross multiply
    9,289.65x = 12,820.17 × 5,312.08
  4. Step 4: Simplify right side
    9,289.65x = 68,101,768.65
  5. Step 5: Solve for x
    x = 68,101,768.65/9,289.65
  6. Step 6: Final answer
    x = 7,330.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.