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Finding the Fourth Proportional to 9,706.34, 14,566.25 and 4,442.00

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Solution

The fourth proportional to 9,706.34, 14,566.25 and 4,442.00 is: 6,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.34 : 14,566.25 = 4,442.00 : x
  2. Step 2: Convert to fraction form
    9,706.34/14,566.25 = 4,442.00/x
  3. Step 3: Cross multiply
    9,706.34x = 14,566.25 × 4,442.00
  4. Step 4: Simplify right side
    9,706.34x = 64,703,187.46
  5. Step 5: Solve for x
    x = 64,703,187.46/9,706.34
  6. Step 6: Final answer
    x = 6,666.07

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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.