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Finding the Fourth Proportional to 6,417.85, 9,615.43 and 4,460.89

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Solution

The fourth proportional to 6,417.85, 9,615.43 and 4,460.89 is: 6,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.85 : 9,615.43 = 4,460.89 : x
  2. Step 2: Convert to fraction form
    6,417.85/9,615.43 = 4,460.89/x
  3. Step 3: Cross multiply
    6,417.85x = 9,615.43 × 4,460.89
  4. Step 4: Simplify right side
    6,417.85x = 42,893,375.53
  5. Step 5: Solve for x
    x = 42,893,375.53/6,417.85
  6. Step 6: Final answer
    x = 6,683.45

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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.