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Finding the Fourth Proportional to 6,361.10, 9,547.52 and 4,584

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Solution

The fourth proportional to 6,361.10, 9,547.52 and 4,584 is: 6,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.10 : 9,547.52 = 4,584 : x
  2. Step 2: Convert to fraction form
    6,361.10/9,547.52 = 4,584/x
  3. Step 3: Cross multiply
    6,361.10x = 9,547.52 × 4,584
  4. Step 4: Simplify right side
    6,361.10x = 43,765,808.76
  5. Step 5: Solve for x
    x = 43,765,808.76/6,361.10
  6. Step 6: Final answer
    x = 6,880.23

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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.