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Finding the Fourth Proportional to 9,653.96, 14,483.28 and 4,972.16

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Solution

The fourth proportional to 9,653.96, 14,483.28 and 4,972.16 is: 7,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.96 : 14,483.28 = 4,972.16 : x
  2. Step 2: Convert to fraction form
    9,653.96/14,483.28 = 4,972.16/x
  3. Step 3: Cross multiply
    9,653.96x = 14,483.28 × 4,972.16
  4. Step 4: Simplify right side
    9,653.96x = 72,013,185.48
  5. Step 5: Solve for x
    x = 72,013,185.48/9,653.96
  6. Step 6: Final answer
    x = 7,459.45

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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.