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Finding the Fourth Proportional to 9,097.49, 12,547.82 and 6,265.76

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Solution

The fourth proportional to 9,097.49, 12,547.82 and 6,265.76 is: 8,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.49 : 12,547.82 = 6,265.76 : x
  2. Step 2: Convert to fraction form
    9,097.49/12,547.82 = 6,265.76/x
  3. Step 3: Cross multiply
    9,097.49x = 12,547.82 × 6,265.76
  4. Step 4: Simplify right side
    9,097.49x = 78,621,628.64
  5. Step 5: Solve for x
    x = 78,621,628.64/9,097.49
  6. Step 6: Final answer
    x = 8,642.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.