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Finding the Fourth Proportional to 9,097.42, 13,673.06 and 7,547.48

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Solution

The fourth proportional to 9,097.42, 13,673.06 and 7,547.48 is: 11,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.42 : 13,673.06 = 7,547.48 : x
  2. Step 2: Convert to fraction form
    9,097.42/13,673.06 = 7,547.48/x
  3. Step 3: Cross multiply
    9,097.42x = 13,673.06 × 7,547.48
  4. Step 4: Simplify right side
    9,097.42x = 103,197,146.89
  5. Step 5: Solve for x
    x = 103,197,146.89/9,097.42
  6. Step 6: Final answer
    x = 11,343.56

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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.