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Finding the Fourth Proportional to 9,473.06, 13,090.20 and 9,017.84

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Solution

The fourth proportional to 9,473.06, 13,090.20 and 9,017.84 is: 12,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.06 : 13,090.20 = 9,017.84 : x
  2. Step 2: Convert to fraction form
    9,473.06/13,090.20 = 9,017.84/x
  3. Step 3: Cross multiply
    9,473.06x = 13,090.20 × 9,017.84
  4. Step 4: Simplify right side
    9,473.06x = 118,045,329.17
  5. Step 5: Solve for x
    x = 118,045,329.17/9,473.06
  6. Step 6: Final answer
    x = 12,461.16

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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.