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Finding the Fourth Proportional to 9,751.84, 13,457.64 and 5,560.36

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Solution

The fourth proportional to 9,751.84, 13,457.64 and 5,560.36 is: 7,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.84 : 13,457.64 = 5,560.36 : x
  2. Step 2: Convert to fraction form
    9,751.84/13,457.64 = 5,560.36/x
  3. Step 3: Cross multiply
    9,751.84x = 13,457.64 × 5,560.36
  4. Step 4: Simplify right side
    9,751.84x = 74,829,323.15
  5. Step 5: Solve for x
    x = 74,829,323.15/9,751.84
  6. Step 6: Final answer
    x = 7,673.35

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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.