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Finding the Fourth Proportional to 9,555.84, 14,307.84 and 9,129.60

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Solution

The fourth proportional to 9,555.84, 14,307.84 and 9,129.60 is: 13,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.84 : 14,307.84 = 9,129.60 : x
  2. Step 2: Convert to fraction form
    9,555.84/14,307.84 = 9,129.60/x
  3. Step 3: Cross multiply
    9,555.84x = 14,307.84 × 9,129.60
  4. Step 4: Simplify right side
    9,555.84x = 130,624,856.06
  5. Step 5: Solve for x
    x = 130,624,856.06/9,555.84
  6. Step 6: Final answer
    x = 13,669.64

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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.