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Finding the Fourth Proportional to 9,097.56, 13,642.56 and 3,547.98

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Solution

The fourth proportional to 9,097.56, 13,642.56 and 3,547.98 is: 5,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.56 : 13,642.56 = 3,547.98 : x
  2. Step 2: Convert to fraction form
    9,097.56/13,642.56 = 3,547.98/x
  3. Step 3: Cross multiply
    9,097.56x = 13,642.56 × 3,547.98
  4. Step 4: Simplify right side
    9,097.56x = 48,403,530.03
  5. Step 5: Solve for x
    x = 48,403,530.03/9,097.56
  6. Step 6: Final answer
    x = 5,320.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.