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Finding the Fourth Proportional to 9,702.61, 14,554.23 and 7,592.29

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Solution

The fourth proportional to 9,702.61, 14,554.23 and 7,592.29 is: 11,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.61 : 14,554.23 = 7,592.29 : x
  2. Step 2: Convert to fraction form
    9,702.61/14,554.23 = 7,592.29/x
  3. Step 3: Cross multiply
    9,702.61x = 14,554.23 × 7,592.29
  4. Step 4: Simplify right side
    9,702.61x = 110,499,862.12
  5. Step 5: Solve for x
    x = 110,499,862.12/9,702.61
  6. Step 6: Final answer
    x = 11,388.68

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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.