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Finding the Fourth Proportional to 9,752.12, 13,457.10 and 5,501.84

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Solution

The fourth proportional to 9,752.12, 13,457.10 and 5,501.84 is: 7,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.12 : 13,457.10 = 5,501.84 : x
  2. Step 2: Convert to fraction form
    9,752.12/13,457.10 = 5,501.84/x
  3. Step 3: Cross multiply
    9,752.12x = 13,457.10 × 5,501.84
  4. Step 4: Simplify right side
    9,752.12x = 74,038,811.06
  5. Step 5: Solve for x
    x = 74,038,811.06/9,752.12
  6. Step 6: Final answer
    x = 7,592.07

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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.