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Finding the Fourth Proportional to 9,597.51, 14,419.16 and 6,268.49

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Solution

The fourth proportional to 9,597.51, 14,419.16 and 6,268.49 is: 9,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.51 : 14,419.16 = 6,268.49 : x
  2. Step 2: Convert to fraction form
    9,597.51/14,419.16 = 6,268.49/x
  3. Step 3: Cross multiply
    9,597.51x = 14,419.16 × 6,268.49
  4. Step 4: Simplify right side
    9,597.51x = 90,386,369.67
  5. Step 5: Solve for x
    x = 90,386,369.67/9,597.51
  6. Step 6: Final answer
    x = 9,417.69

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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.