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Finding the Fourth Proportional to 9,133.34, 12,604 and 5,155.30

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Solution

The fourth proportional to 9,133.34, 12,604 and 5,155.30 is: 7,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.34 : 12,604 = 5,155.30 : x
  2. Step 2: Convert to fraction form
    9,133.34/12,604 = 5,155.30/x
  3. Step 3: Cross multiply
    9,133.34x = 12,604 × 5,155.30
  4. Step 4: Simplify right side
    9,133.34x = 64,977,401.20
  5. Step 5: Solve for x
    x = 64,977,401.20/9,133.34
  6. Step 6: Final answer
    x = 7,114.31

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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.