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Finding the Fourth Proportional to 9,492.84, 14,220.72 and 6,530.76

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Solution

The fourth proportional to 9,492.84, 14,220.72 and 6,530.76 is: 9,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.84 : 14,220.72 = 6,530.76 : x
  2. Step 2: Convert to fraction form
    9,492.84/14,220.72 = 6,530.76/x
  3. Step 3: Cross multiply
    9,492.84x = 14,220.72 × 6,530.76
  4. Step 4: Simplify right side
    9,492.84x = 92,872,109.35
  5. Step 5: Solve for x
    x = 92,872,109.35/9,492.84
  6. Step 6: Final answer
    x = 9,783.39

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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.