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Finding the Fourth Proportional to 9,582.95, 14,337.50 and 6,448.01

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Solution

The fourth proportional to 9,582.95, 14,337.50 and 6,448.01 is: 9,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.95 : 14,337.50 = 6,448.01 : x
  2. Step 2: Convert to fraction form
    9,582.95/14,337.50 = 6,448.01/x
  3. Step 3: Cross multiply
    9,582.95x = 14,337.50 × 6,448.01
  4. Step 4: Simplify right side
    9,582.95x = 92,448,239.45
  5. Step 5: Solve for x
    x = 92,448,239.45/9,582.95
  6. Step 6: Final answer
    x = 9,647.16

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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.