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Finding the Fourth Proportional to 9,835.32, 14,802.45 and 7,383

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Solution

The fourth proportional to 9,835.32, 14,802.45 and 7,383 is: 11,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.32 : 14,802.45 = 7,383 : x
  2. Step 2: Convert to fraction form
    9,835.32/14,802.45 = 7,383/x
  3. Step 3: Cross multiply
    9,835.32x = 14,802.45 × 7,383
  4. Step 4: Simplify right side
    9,835.32x = 109,286,488.35
  5. Step 5: Solve for x
    x = 109,286,488.35/9,835.32
  6. Step 6: Final answer
    x = 11,111.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.