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Finding the Fourth Proportional to 9,653.58, 14,420.48 and 7,000.02

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Solution

The fourth proportional to 9,653.58, 14,420.48 and 7,000.02 is: 10,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.58 : 14,420.48 = 7,000.02 : x
  2. Step 2: Convert to fraction form
    9,653.58/14,420.48 = 7,000.02/x
  3. Step 3: Cross multiply
    9,653.58x = 14,420.48 × 7,000.02
  4. Step 4: Simplify right side
    9,653.58x = 100,943,613.41
  5. Step 5: Solve for x
    x = 100,943,613.41/9,653.58
  6. Step 6: Final answer
    x = 10,456.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.