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Finding the Fourth Proportional to 9,098.74, 13,643.52 and 3,547.81

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Solution

The fourth proportional to 9,098.74, 13,643.52 and 3,547.81 is: 5,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.74 : 13,643.52 = 3,547.81 : x
  2. Step 2: Convert to fraction form
    9,098.74/13,643.52 = 3,547.81/x
  3. Step 3: Cross multiply
    9,098.74x = 13,643.52 × 3,547.81
  4. Step 4: Simplify right side
    9,098.74x = 48,404,616.69
  5. Step 5: Solve for x
    x = 48,404,616.69/9,098.74
  6. Step 6: Final answer
    x = 5,319.93

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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.