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Finding the Fourth Proportional to 9,113.42, 13,646.48 and 7,805.59

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Solution

The fourth proportional to 9,113.42, 13,646.48 and 7,805.59 is: 11,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.42 : 13,646.48 = 7,805.59 : x
  2. Step 2: Convert to fraction form
    9,113.42/13,646.48 = 7,805.59/x
  3. Step 3: Cross multiply
    9,113.42x = 13,646.48 × 7,805.59
  4. Step 4: Simplify right side
    9,113.42x = 106,518,754.68
  5. Step 5: Solve for x
    x = 106,518,754.68/9,113.42
  6. Step 6: Final answer
    x = 11,688.12

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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.