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Finding the Fourth Proportional to 9,904.32, 14,837.85 and 7,702.34

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Solution

The fourth proportional to 9,904.32, 14,837.85 and 7,702.34 is: 11,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.32 : 14,837.85 = 7,702.34 : x
  2. Step 2: Convert to fraction form
    9,904.32/14,837.85 = 7,702.34/x
  3. Step 3: Cross multiply
    9,904.32x = 14,837.85 × 7,702.34
  4. Step 4: Simplify right side
    9,904.32x = 114,286,091.38
  5. Step 5: Solve for x
    x = 114,286,091.38/9,904.32
  6. Step 6: Final answer
    x = 11,539.01

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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.