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Finding the Fourth Proportional to 9,056.16, 12,496.86 and 5,023.20

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Solution

The fourth proportional to 9,056.16, 12,496.86 and 5,023.20 is: 6,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.16 : 12,496.86 = 5,023.20 : x
  2. Step 2: Convert to fraction form
    9,056.16/12,496.86 = 5,023.20/x
  3. Step 3: Cross multiply
    9,056.16x = 12,496.86 × 5,023.20
  4. Step 4: Simplify right side
    9,056.16x = 62,774,227.15
  5. Step 5: Solve for x
    x = 62,774,227.15/9,056.16
  6. Step 6: Final answer
    x = 6,931.66

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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.