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Finding the Fourth Proportional to 7,130.34, 9,818.33 and 6,462.96

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Solution

The fourth proportional to 7,130.34, 9,818.33 and 6,462.96 is: 8,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.34 : 9,818.33 = 6,462.96 : x
  2. Step 2: Convert to fraction form
    7,130.34/9,818.33 = 6,462.96/x
  3. Step 3: Cross multiply
    7,130.34x = 9,818.33 × 6,462.96
  4. Step 4: Simplify right side
    7,130.34x = 63,455,441.74
  5. Step 5: Solve for x
    x = 63,455,441.74/7,130.34
  6. Step 6: Final answer
    x = 8,899.36

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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.