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Finding the Fourth Proportional to 9,140.56, 13,688.92 and 4,970.22

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Solution

The fourth proportional to 9,140.56, 13,688.92 and 4,970.22 is: 7,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.56 : 13,688.92 = 4,970.22 : x
  2. Step 2: Convert to fraction form
    9,140.56/13,688.92 = 4,970.22/x
  3. Step 3: Cross multiply
    9,140.56x = 13,688.92 × 4,970.22
  4. Step 4: Simplify right side
    9,140.56x = 68,037,009.07
  5. Step 5: Solve for x
    x = 68,037,009.07/9,140.56
  6. Step 6: Final answer
    x = 7,443.42

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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.