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Finding the Fourth Proportional to 9,113.40, 13,670.10 and 5,830.20

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Solution

The fourth proportional to 9,113.40, 13,670.10 and 5,830.20 is: 8,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.40 : 13,670.10 = 5,830.20 : x
  2. Step 2: Convert to fraction form
    9,113.40/13,670.10 = 5,830.20/x
  3. Step 3: Cross multiply
    9,113.40x = 13,670.10 × 5,830.20
  4. Step 4: Simplify right side
    9,113.40x = 79,699,417.02
  5. Step 5: Solve for x
    x = 79,699,417.02/9,113.40
  6. Step 6: Final answer
    x = 8,745.30

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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.