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Finding the Fourth Proportional to 9,312.40, 13,970.22 and 3,765.52

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Solution

The fourth proportional to 9,312.40, 13,970.22 and 3,765.52 is: 5,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.40 : 13,970.22 = 3,765.52 : x
  2. Step 2: Convert to fraction form
    9,312.40/13,970.22 = 3,765.52/x
  3. Step 3: Cross multiply
    9,312.40x = 13,970.22 × 3,765.52
  4. Step 4: Simplify right side
    9,312.40x = 52,605,142.81
  5. Step 5: Solve for x
    x = 52,605,142.81/9,312.40
  6. Step 6: Final answer
    x = 5,648.94

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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.