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Finding the Fourth Proportional to 9,715.61, 14,570.58 and 4,447.64

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Solution

The fourth proportional to 9,715.61, 14,570.58 and 4,447.64 is: 6,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.61 : 14,570.58 = 4,447.64 : x
  2. Step 2: Convert to fraction form
    9,715.61/14,570.58 = 4,447.64/x
  3. Step 3: Cross multiply
    9,715.61x = 14,570.58 × 4,447.64
  4. Step 4: Simplify right side
    9,715.61x = 64,804,747.54
  5. Step 5: Solve for x
    x = 64,804,747.54/9,715.61
  6. Step 6: Final answer
    x = 6,670.17

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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.