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Finding the Fourth Proportional to 9,405.13, 14,108.51 and 9,277.15

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Solution

The fourth proportional to 9,405.13, 14,108.51 and 9,277.15 is: 13,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.13 : 14,108.51 = 9,277.15 : x
  2. Step 2: Convert to fraction form
    9,405.13/14,108.51 = 9,277.15/x
  3. Step 3: Cross multiply
    9,405.13x = 14,108.51 × 9,277.15
  4. Step 4: Simplify right side
    9,405.13x = 130,886,763.55
  5. Step 5: Solve for x
    x = 130,886,763.55/9,405.13
  6. Step 6: Final answer
    x = 13,916.53

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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.