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Finding the Fourth Proportional to 9,710.53, 13,400.84 and 5,461.67

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Solution

The fourth proportional to 9,710.53, 13,400.84 and 5,461.67 is: 7,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.53 : 13,400.84 = 5,461.67 : x
  2. Step 2: Convert to fraction form
    9,710.53/13,400.84 = 5,461.67/x
  3. Step 3: Cross multiply
    9,710.53x = 13,400.84 × 5,461.67
  4. Step 4: Simplify right side
    9,710.53x = 73,191,012.96
  5. Step 5: Solve for x
    x = 73,191,012.96/9,710.53
  6. Step 6: Final answer
    x = 7,537.28

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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.