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Finding the Fourth Proportional to 9,025.29, 12,444.84 and 5,664

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Solution

The fourth proportional to 9,025.29, 12,444.84 and 5,664 is: 7,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.29 : 12,444.84 = 5,664 : x
  2. Step 2: Convert to fraction form
    9,025.29/12,444.84 = 5,664/x
  3. Step 3: Cross multiply
    9,025.29x = 12,444.84 × 5,664
  4. Step 4: Simplify right side
    9,025.29x = 70,487,573.76
  5. Step 5: Solve for x
    x = 70,487,573.76/9,025.29
  6. Step 6: Final answer
    x = 7,810.01

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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.