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Finding the Fourth Proportional to 9,475.95, 14,213.93 and 5,095.47

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Solution

The fourth proportional to 9,475.95, 14,213.93 and 5,095.47 is: 7,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.95 : 14,213.93 = 5,095.47 : x
  2. Step 2: Convert to fraction form
    9,475.95/14,213.93 = 5,095.47/x
  3. Step 3: Cross multiply
    9,475.95x = 14,213.93 × 5,095.47
  4. Step 4: Simplify right side
    9,475.95x = 72,426,628.42
  5. Step 5: Solve for x
    x = 72,426,628.42/9,475.95
  6. Step 6: Final answer
    x = 7,643.21

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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.