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Finding the Fourth Proportional to 9,617.32, 14,417.34 and 3,457

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Solution

The fourth proportional to 9,617.32, 14,417.34 and 3,457 is: 5,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.32 : 14,417.34 = 3,457 : x
  2. Step 2: Convert to fraction form
    9,617.32/14,417.34 = 3,457/x
  3. Step 3: Cross multiply
    9,617.32x = 14,417.34 × 3,457
  4. Step 4: Simplify right side
    9,617.32x = 49,840,744.38
  5. Step 5: Solve for x
    x = 49,840,744.38/9,617.32
  6. Step 6: Final answer
    x = 5,182.39

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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.