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Finding the Fourth Proportional to 9,547.48, 14,328.60 and 9,059.77

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Solution

The fourth proportional to 9,547.48, 14,328.60 and 9,059.77 is: 13,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.48 : 14,328.60 = 9,059.77 : x
  2. Step 2: Convert to fraction form
    9,547.48/14,328.60 = 9,059.77/x
  3. Step 3: Cross multiply
    9,547.48x = 14,328.60 × 9,059.77
  4. Step 4: Simplify right side
    9,547.48x = 129,813,820.42
  5. Step 5: Solve for x
    x = 129,813,820.42/9,547.48
  6. Step 6: Final answer
    x = 13,596.66

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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.