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Finding the Fourth Proportional to 9,035.42, 12,468.93 and 5,056.53

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Solution

The fourth proportional to 9,035.42, 12,468.93 and 5,056.53 is: 6,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.42 : 12,468.93 = 5,056.53 : x
  2. Step 2: Convert to fraction form
    9,035.42/12,468.93 = 5,056.53/x
  3. Step 3: Cross multiply
    9,035.42x = 12,468.93 × 5,056.53
  4. Step 4: Simplify right side
    9,035.42x = 63,049,518.61
  5. Step 5: Solve for x
    x = 63,049,518.61/9,035.42
  6. Step 6: Final answer
    x = 6,978.04

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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.