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Finding the Fourth Proportional to 9,096.40, 13,645.23 and 3,547.90

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Solution

The fourth proportional to 9,096.40, 13,645.23 and 3,547.90 is: 5,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.40 : 13,645.23 = 3,547.90 : x
  2. Step 2: Convert to fraction form
    9,096.40/13,645.23 = 3,547.90/x
  3. Step 3: Cross multiply
    9,096.40x = 13,645.23 × 3,547.90
  4. Step 4: Simplify right side
    9,096.40x = 48,411,911.52
  5. Step 5: Solve for x
    x = 48,411,911.52/9,096.40
  6. Step 6: Final answer
    x = 5,322.10

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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.