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Finding the Fourth Proportional to 9,477.53, 14,219.33 and 4,547.56

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Solution

The fourth proportional to 9,477.53, 14,219.33 and 4,547.56 is: 6,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.53 : 14,219.33 = 4,547.56 : x
  2. Step 2: Convert to fraction form
    9,477.53/14,219.33 = 4,547.56/x
  3. Step 3: Cross multiply
    9,477.53x = 14,219.33 × 4,547.56
  4. Step 4: Simplify right side
    9,477.53x = 64,663,256.33
  5. Step 5: Solve for x
    x = 64,663,256.33/9,477.53
  6. Step 6: Final answer
    x = 6,822.80

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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.