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Finding the Fourth Proportional to 9,291.70, 12,820.44 and 5,312.17

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Solution

The fourth proportional to 9,291.70, 12,820.44 and 5,312.17 is: 7,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.70 : 12,820.44 = 5,312.17 : x
  2. Step 2: Convert to fraction form
    9,291.70/12,820.44 = 5,312.17/x
  3. Step 3: Cross multiply
    9,291.70x = 12,820.44 × 5,312.17
  4. Step 4: Simplify right side
    9,291.70x = 68,104,356.75
  5. Step 5: Solve for x
    x = 68,104,356.75/9,291.70
  6. Step 6: Final answer
    x = 7,329.59

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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.