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Finding the Fourth Proportional to 10,607.84, 15,915.92 and 9,746.72

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Solution

The fourth proportional to 10,607.84, 15,915.92 and 9,746.72 is: 14,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.84 : 15,915.92 = 9,746.72 : x
  2. Step 2: Convert to fraction form
    10,607.84/15,915.92 = 9,746.72/x
  3. Step 3: Cross multiply
    10,607.84x = 15,915.92 × 9,746.72
  4. Step 4: Simplify right side
    10,607.84x = 155,128,015.78
  5. Step 5: Solve for x
    x = 155,128,015.78/10,607.84
  6. Step 6: Final answer
    x = 14,623.90

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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.