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Finding the Fourth Proportional to 9,140.68, 13,712.06 and 4,457.34

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Solution

The fourth proportional to 9,140.68, 13,712.06 and 4,457.34 is: 6,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.68 : 13,712.06 = 4,457.34 : x
  2. Step 2: Convert to fraction form
    9,140.68/13,712.06 = 4,457.34/x
  3. Step 3: Cross multiply
    9,140.68x = 13,712.06 × 4,457.34
  4. Step 4: Simplify right side
    9,140.68x = 61,119,313.52
  5. Step 5: Solve for x
    x = 61,119,313.52/9,140.68
  6. Step 6: Final answer
    x = 6,686.52

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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.