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Finding the Fourth Proportional to 9,457.10, 14,178.14 and 6,128.76

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Solution

The fourth proportional to 9,457.10, 14,178.14 and 6,128.76 is: 9,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.10 : 14,178.14 = 6,128.76 : x
  2. Step 2: Convert to fraction form
    9,457.10/14,178.14 = 6,128.76/x
  3. Step 3: Cross multiply
    9,457.10x = 14,178.14 × 6,128.76
  4. Step 4: Simplify right side
    9,457.10x = 86,894,462.81
  5. Step 5: Solve for x
    x = 86,894,462.81/9,457.10
  6. Step 6: Final answer
    x = 9,188.27

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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.