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Finding the Fourth Proportional to 6,869.21, 9,477.91 and 4,746.60

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Solution

The fourth proportional to 6,869.21, 9,477.91 and 4,746.60 is: 6,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.21 : 9,477.91 = 4,746.60 : x
  2. Step 2: Convert to fraction form
    6,869.21/9,477.91 = 4,746.60/x
  3. Step 3: Cross multiply
    6,869.21x = 9,477.91 × 4,746.60
  4. Step 4: Simplify right side
    6,869.21x = 44,987,853.54
  5. Step 5: Solve for x
    x = 44,987,853.54/6,869.21
  6. Step 6: Final answer
    x = 6,549.21

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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.