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Finding the Fourth Proportional to 6,830.66, 9,464.12 and 6,683.06

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Solution

The fourth proportional to 6,830.66, 9,464.12 and 6,683.06 is: 9,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.66 : 9,464.12 = 6,683.06 : x
  2. Step 2: Convert to fraction form
    6,830.66/9,464.12 = 6,683.06/x
  3. Step 3: Cross multiply
    6,830.66x = 9,464.12 × 6,683.06
  4. Step 4: Simplify right side
    6,830.66x = 63,249,281.81
  5. Step 5: Solve for x
    x = 63,249,281.81/6,830.66
  6. Step 6: Final answer
    x = 9,259.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.