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Finding the Fourth Proportional to 9,385.03, 12,952.88 and 5,405.47

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Solution

The fourth proportional to 9,385.03, 12,952.88 and 5,405.47 is: 7,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.03 : 12,952.88 = 5,405.47 : x
  2. Step 2: Convert to fraction form
    9,385.03/12,952.88 = 5,405.47/x
  3. Step 3: Cross multiply
    9,385.03x = 12,952.88 × 5,405.47
  4. Step 4: Simplify right side
    9,385.03x = 70,016,365.11
  5. Step 5: Solve for x
    x = 70,016,365.11/9,385.03
  6. Step 6: Final answer
    x = 7,460.43

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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.