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Finding the Fourth Proportional to 9,380.90, 12,945.48 and 5,402

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Solution

The fourth proportional to 9,380.90, 12,945.48 and 5,402 is: 7,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.90 : 12,945.48 = 5,402 : x
  2. Step 2: Convert to fraction form
    9,380.90/12,945.48 = 5,402/x
  3. Step 3: Cross multiply
    9,380.90x = 12,945.48 × 5,402
  4. Step 4: Simplify right side
    9,380.90x = 69,931,482.96
  5. Step 5: Solve for x
    x = 69,931,482.96/9,380.90
  6. Step 6: Final answer
    x = 7,454.67

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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.