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Finding the Fourth Proportional to 4,646.16, 6,969.64 and 1,314.42

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Solution

The fourth proportional to 4,646.16, 6,969.64 and 1,314.42 is: 1,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.16 : 6,969.64 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    4,646.16/6,969.64 = 1,314.42/x
  3. Step 3: Cross multiply
    4,646.16x = 6,969.64 × 1,314.42
  4. Step 4: Simplify right side
    4,646.16x = 9,161,040.63
  5. Step 5: Solve for x
    x = 9,161,040.63/4,646.16
  6. Step 6: Final answer
    x = 1,971.74

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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.