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Finding the Fourth Proportional to 9,792.10, 14,688.15 and 7,459.30

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Solution

The fourth proportional to 9,792.10, 14,688.15 and 7,459.30 is: 11,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.10 : 14,688.15 = 7,459.30 : x
  2. Step 2: Convert to fraction form
    9,792.10/14,688.15 = 7,459.30/x
  3. Step 3: Cross multiply
    9,792.10x = 14,688.15 × 7,459.30
  4. Step 4: Simplify right side
    9,792.10x = 109,563,317.30
  5. Step 5: Solve for x
    x = 109,563,317.30/9,792.10
  6. Step 6: Final answer
    x = 11,188.95

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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.