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Finding the Fourth Proportional to 6,214.40, 9,301.44 and 4,570.64

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Solution

The fourth proportional to 6,214.40, 9,301.44 and 4,570.64 is: 6,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.40 : 9,301.44 = 4,570.64 : x
  2. Step 2: Convert to fraction form
    6,214.40/9,301.44 = 4,570.64/x
  3. Step 3: Cross multiply
    6,214.40x = 9,301.44 × 4,570.64
  4. Step 4: Simplify right side
    6,214.40x = 42,513,533.72
  5. Step 5: Solve for x
    x = 42,513,533.72/6,214.40
  6. Step 6: Final answer
    x = 6,841.13

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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.