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Finding the Fourth Proportional to 9,553.04, 14,326.88 and 3,312.80

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Solution

The fourth proportional to 9,553.04, 14,326.88 and 3,312.80 is: 4,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.04 : 14,326.88 = 3,312.80 : x
  2. Step 2: Convert to fraction form
    9,553.04/14,326.88 = 3,312.80/x
  3. Step 3: Cross multiply
    9,553.04x = 14,326.88 × 3,312.80
  4. Step 4: Simplify right side
    9,553.04x = 47,462,088.06
  5. Step 5: Solve for x
    x = 47,462,088.06/9,553.04
  6. Step 6: Final answer
    x = 4,968.27

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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.