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Finding the Fourth Proportional to 9,547.08, 13,174.32 and 5,355

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Solution

The fourth proportional to 9,547.08, 13,174.32 and 5,355 is: 7,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.08 : 13,174.32 = 5,355 : x
  2. Step 2: Convert to fraction form
    9,547.08/13,174.32 = 5,355/x
  3. Step 3: Cross multiply
    9,547.08x = 13,174.32 × 5,355
  4. Step 4: Simplify right side
    9,547.08x = 70,548,483.60
  5. Step 5: Solve for x
    x = 70,548,483.60/9,547.08
  6. Step 6: Final answer
    x = 7,389.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.