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Finding the Fourth Proportional to 9,104.94, 12,564.72 and 5,127.30

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Solution

The fourth proportional to 9,104.94, 12,564.72 and 5,127.30 is: 7,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.94 : 12,564.72 = 5,127.30 : x
  2. Step 2: Convert to fraction form
    9,104.94/12,564.72 = 5,127.30/x
  3. Step 3: Cross multiply
    9,104.94x = 12,564.72 × 5,127.30
  4. Step 4: Simplify right side
    9,104.94x = 64,423,088.86
  5. Step 5: Solve for x
    x = 64,423,088.86/9,104.94
  6. Step 6: Final answer
    x = 7,075.62

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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.